Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.

Ava’s graph is a vertical translation of f(x) = x2.
Victor’s graph is a vertical translation of f(x) = x2.
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
Ava’s graph has a y-intercept of 4.

Answers

Answer 1

Answer:

Step-by-step explanation:

A: true. Her graph goes 4 units up.

B: False. His graph goes 4 units to the left. Be sure you check this answer out.

C: True. It moved from (0,0) to (0,4)

D: Victor's graph move left in the minus direction. False.

E. True. See C.

Answer 2

The correct statements are true regarding the two graphs are as follows;

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

What is the function?

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2.

To find the y-intercept we plug in 0 for x;

[tex]\rm h(x) = x^2 + 4\\\\h(0)=(0)^2+4\\\\h(0)=4[/tex]

Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4.

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2.

Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2.

If any number is added with x then the graph will be shifted left. the graph will be shifted in the negative x-direction.

Learn more about function here;

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Related Questions

Y+y+y+y rewrite in multiplication

Answers

Answer:

4y

Step-by-step explanation:

y+y+y+y

= (1+1+1+1) y

= 4y

Answer:

4y

Step-by-step explanation:

Y+y+y+y

Combine like terms

4y

a particle P moves in a straight line such that, t s after leaving a point O, its velocity v ms^-1 is given by v=36t - 3t^2 for t>_ 0
1) find the value of t when the velocity of P stops increasing
2)find the value of t when P comes to instaneous rest
3) find the distance of P from O when P is at instaneous rest
4) find the speed of P when P is again at O​

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Answer:

jajjskslslskjsjxjj k k

If A = -x + 2x - x + 1 and B = x² + 5, find A + B.

Answers

Answer:

6 + x^2

Step-by-step explanation:

Plug in the values for A and B.

(-x + 2x - x + 1) + (x^2 + 5)

Remove the parenthesis. Combine like terms.

-2x + 2x = 0

1 + x^2 + 5

Combine like terms again.

6 + x^2

10. A moving van company charges a fee of 35.00 dollars for the truck rental and 25 cents for every mile the truck travels from the loading location. Let y be the cost in dollars for using the truck for x miles. Write the slope-intercept form of the equation.

Answers

Answer:

y=0.25x+35

Step-by-step explanation:

if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35

Answer:

y = .25 x + 35

Step-by-step explanation:

Total cost = cost per mile * number of miles * flat fee

y be the cost in dollars

x = miles

y = .25 x + 35

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

30 POINTS

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

40.
PLEASE GIVE EXPLANATION

Answers

Answer:

3.61%

Step-by-step explanation:

Mathematics, calculator

Answer:

Step-by-step explanation:

If we are looking for the probability that the battery lasts between 7 and 8 years, we find the z-score for the probability that it lasts less than 8 years, and then subtract from it the z-score for the probability that it lasts less than 7 years. This subtraction will give you what's left: the span in between 7 and 8 years. To find the z-score:

[tex]z=\frac{x_i-\mu}{\sigma}[/tex] Therefore,

P(x < 8) has a z-score of

[tex]z=\frac{8-5}{1.2}=1.667[/tex] The p-value that accompanies this z-score is .99379 (which translates to 99.379% of the data falling below 8 years) and

P(x < 7) has a z-score of

[tex]z=\frac{7-5}{1.2}=2.5[/tex] The p-value that accompanies this z-score is .95224 (which translates to 95.224% of the data falling below 7 years).

Subtract the p-value of 2.5 from the p-value of 1.667 to get

.99379 - .95224 = .04155 = 4.16%, choice A.

Do the activity please it's trigonometry ​

Answers

Answer:

SinA=k/g

cotA=k/j

secA=g/j

cosecB=g/k

tanB=l/k

cosB=k/g

SORRY HELP xx jdjskcksickkwskkdwkkcwo

Answers

Answer:

0

Step-by-step explanation:

zero is not a natural number,it is a whole number

Answer:

0

Step-by-step explanation:

Natural numbers are all positive whole numbers starting at 1 to infinity. So, 0 isn't a natural number.

A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?

Answers

161 bc 30*1.4^5 so 5.37824830 around 161
90 bunnies because you take the 40% of the 30 and multiply that by 5 and add that to the existing amount

rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'

Answers

Answer:

(x+12, y-24)

Step-by-step explanation:

The rule is (x, y) -> (x+12, y-24)

what is (-5x-3y) - (-x-3z)

Answers

Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

A. 4
B.-1/4
C. 4
D. 1/4

Answers

The answer should be 1/4

they sold $62 by selling 4 adult tickets and 2 student tickets. find the cost of an adult ticket.

Answers

Answer:

Because this question was posted 4 days ago I'm assuming that you Oliver don't need any help anymore,... BUT,... with the amount of info given it is not possible to answer the question for example,...

They could sell: 4 adult tickets costing $15 each and 2 student ones cost $1 dollar each,...

All of that adding up to $64

Or they could sell: 4 adult tickets costing $10 each and 2 student ones cost $11 dollar each,...

All of that adding up to $64

OR still (you're probably annoyed by now,... sorry) they could sell: 4 adult tickets costing $6 each and 2 student ones cost $19 dollar each,...

AND All of that adding up to $62

You get the point,... Hope that helped and see you in life,... (well actually because we're probably never going to meet each other in real life then no I probably won't see you in life,... but, I mean, you get the idea) Chow!

In right triangle ABC a.30°
b.45°
c.60°
d.75°

Answers

Answer:

c

Step-by-step explanation:

30°+90°+x=180°  (the sum of interior angle of a triangle is 180°)

120°+x=180°

x=180°-120°

x=60°

solve for why please.

Answers

Answer:

[tex]sin {45}^{ \circ} = \frac{x}{2} \\ = > x = 2 \: sin {45}^{ \circ} \\ = > x = 2 \times \frac{1}{ \sqrt{2} } \\ = > \green{x = \sqrt{2} }[/tex]

[tex]tan {45}^{ \circ} = \frac{x}{y} = \frac{ \sqrt{2} }{y} \\ = > y = \frac{ \sqrt{2} }{tan {45}^{ \circ} } \\ = > y = \frac{ \sqrt{2} }{1} \\ = > \pink{ y = \sqrt{ 2 } }[/tex]

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

Answers

Answer:

Step-by-step explanation:

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

Х
32°
X =
degrees.
please

Answers

Answer:

58

Step-by-step explanation:

90+32= 122

180-122=58

Answer:

X = 122°

Step-by-step explanation:

A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.

32° + 90° = 122°

180° - 122° = 58°

The line is 180°.

180° - 58° = 122°

So x - 122°

Sorry if this was hard to understand but I hope I helped :)

after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.​

Answers

Answer:

Step-by-step explanation:

The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.

[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so

a = 32000

The initial population is 32000

While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42

Answers

Answer:

B. decrease of 12

Step-by-step explanation:

Number of people who left the store = 14

Number of people who entered the store = 10

Again,

Number of people who left the store = 13

Number of people who entered the store = 5

Total people who left the store = 14 + 13

= 27 people

Total people who entered the store = 10 + 5

= 15 people

Number of people remaining in the store = Total people who entered the store - Total people who left the store

= 15 - 27

= -12

This means there is a net decrease in the number of people in Carmen's Computer Store

A jar contains 30 red, 40 blue, and 50 white buttons. You pick one button at random , find the probability that it is blue.

Answers

Answer:

33.33%

Step-by-step explanation:

Probability is a percentage.  To determine probability you would add all of the buttons together to equal 120 buttons.  Then you would divide the number of blue buttons by that total or 40/120 which equals 0.333333; this number in a percentage is 33.3333% (or roughly 1/3).  

Answer:

33.33%

Step-by-step explanation:

To find the probability of blue buttons, divide the amount of blue buttons with the total buttons.

Blue Buttons/Total Buttons=> 40/30 + 40 + 50=> 40/120=> 1/3 = 33.33%

Hence, the probability of the button chosen is blue is 33.33%.

2 cos(3x+40°)-1=0
Thanks for your question

Answers

Step-by-step explanation:

gjfjdjjfu from Florida for Christmas and technology center and technology and technology

The entrance fee to a local waterpark is $28 per person. At the waterpark, you can rent a raft for $2.50 per hour. Which expression is equivalent to
the amount it would cost Colton for h hours in the park if he rented a raft? �� 2.50h - 28
�� 2.50 (h - 28)
�� 2.50h + 28
�� 2.50 (h + 28)

Answers

Answer:

C

Step-by-step explanation:

The 28 is independent of the number of hours. Both B and D are incorrect.

You don't subtract the 28 from the total. That's part of the total. A is wrong.

The answer is C

Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo 27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?

Answers

Answer:

Equivaldría a 45.9 litros de leche de vaca.

Step-by-step explanation:

Esta pregunta se resuelve por proporciones, usando una regla de tres.

Un litro de leche de búfala equivale a 1.7 litros de leche de vaca.

27 litros de leche de buffalo - x litros de leche de cava

1 - 1.7

Aplicando multiplicación cruzada :

[tex]x = 27*1.7 = 45.9[/tex]

Equivaldría a 45.9 litros de leche de vaca.

How tall is a stack of cube-shaped blocks whose volumes are 375 in3, 648 in3 and 1,029 in3? Round your answer to the nearest tenth. Hint: Volume = s3

Answers

Answer:

Step-by-step explanation:

How would you graph 6x-5y=13

Answers

Answer:

Step-by-step explanation:

5y=...:

y=5-13

y=-8=>5y=-58

6x-(-58)=13

6x+58=13

6x =13-58

6x =-45

x =-45:6

x =-7.5

HELP ASAP!!!!! Which statement is not always true for a parallelogram?

Answers

Answer:

D

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary.

Thus statement D is not always true.

Is (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis a solution of the graphed system of inequalities?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

No.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

If we mark the point at (3, -3), the we can tell that the point does not lie in any shaded region. This means that it is NOT a solution to the system.

See the graph attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

No, (3, -3) is not the solution to the graphed system of inequalities.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

From the graph,

The point of intersection is (2, 3).

This is the solution to the graphed system of inequalities.

But,

(3, -3) is given as the solution which is not true.

Thus,

(3, -3) is not the solution.

Learn more about inequalities here:

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4(1-2x)>32
solve for x​

Answers

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2

BRAINLIET TO THE FIRST.....AND PLZZ HURRY.....
What is the volume of the oblique cone? Round to the nearest tenth.​

Answers

Formula for the volume of a cone: V = 1/3 x pi x r^2 x h

Since this is a right cone, the height is given as 8.5 and the radius is 4.

V = 1/3 x pi x 4^2 x 8.5

V = 1/3 x pi x 16 x 8.5

V = 1/3 x pi x 136

V = 45 1/3 pi

V = 142.4 cubic units

Hope this helps!

Answer:

142.4 units^3

Step-by-step explanation:

We use the same formula for volume as for a cone

V = 1/3 pi r^2 h

V = 1/3 pi (4)^2 ( 8.5)

  = 1/3 pi (16)(8.5)

Letting pi = 3.14

 =142.34666667

Rounding to the nearest tenth

  = 142.4

I need help with this question. Pls give me an answer /steps and explanations.

Answers

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

Express your answer using positive exponent.

[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]

adding power of common term and multiply constant term:

[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]

[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

[tex]30s^5t^9u^{10}v^8[/tex]

Step-by-step explanation:

We'll be using the following exponent property to solve this problem:

[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]

This will allow us to combine terms with the same variable.

In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].

Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.

Therefore, combine using the exponent property I mentioned above:

[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]

Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].

Combine using the exponent property:

[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]

Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:

[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]

[tex]v^7\cdot v=v^{7+1}=v^8[/tex]

Finally, combine all the terms together:

[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]

Given = 1/(−3), what is ((+ℎ)−())/ℎ ?

Answers

Answer:

-(1/(x+h-3)(x-3))

Step-by-step explanation:

y=1/(x-3)

(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))

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