Mathematics High School

f(x) = x2. What is g(x)?

F(x) = X2. What Is G(x)?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.

Next, we want to figure out how much g(x) is a compression/stretch of x.

In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.

A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have

kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B

In the x direction,  at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.

f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have

f(kx) = f(3x) = (3x)² = 9x² = B

Related Questions

evaluate the function

Answers

Answer:

-16

Step-by-step explanation:

x = -3 is less than -2, so you should use the first equation 5x-1

thus, 5(-3)-1 = -16

Simplify.

What is the answer?

Answers

Answer:

81[tex]y^{8}[/tex][tex]z^{4}[/tex]

Step-by-step explanation:

What is the sum of 9.8 and 12.05 please i need help

Answers

The answer is 21.85.
The answer would be 21.85

6. Which number completes the
pattern?
44, 55, ? , 110, 154, 209
F 66
H 88
G 77
J 99

Answers

Answer:

(G)77

Step-by-step explanation:

44+11=55.

55+22=77.

77+33=110.

110+44=154.

154+55=209.

5 added to a certain number gives a result of -6 . Find that number​

Answers

Answer:

- 11

Step-by-step explanation:

let the number be n , then

n + 5 = - 6 ( subtract 5 from both sides )

n = - 11

The number is - 11

Answer: -11

Step-by-step explanation:

Let x be the number

Set equation

x + 5 = -6

Subtract 5 on both sides

x + 5 = -6 - 5

[tex]\boxed{x=-11}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).

Answers

Answer:

24units.

Step-by-step explanation:

steps are in picture.

If you have any question about it please ask.

What is equivalent to -23?

Answers

Bakagavaiauqybqkauba

Findi the value of x

Answers

Answer:

By Pythagoras theorem ,

H^2 = P^2 + B^2

H^2 = 4^2 + 3^2

H^2 = 16 + 9

H^2 = 25

H = 5

therefore , value of x = 5

hope that helps uh..☺

Answer:

x = 5

Step-by-step explanation:

Since it's a right triangle, you can use Pythagorean Theorem.

[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]

3 points
Below are dot plots for three different data sets. The standard deviation for
these three data sets are given in the following table.
Standard deviation
Data Set
59
Looking at the dot plots and without calculating the
standard deviations, match the data sets to the
standard deviations.
Standard deviation of 5.9
Da Sot
Data Set
Standard deviation of 3.3
Data Set
10
15
20
Standard deviation of 23

Answers

Answer:

I don't understand this

Please help me with my homework!!!!!!

Answers

Answer:

Step-by-step explanation:

Given that x = 3 and y = 2 we can figure these out

3x = 3x3 = 9

5y = 5 x 2 = 10

9+10=19

X times y - 1

3x2-1=5

X*+y* =

3x3+2x2 = 13

2x3*-2 =

2x3x3 - 2 = 16

-5x3+9

= -6

2x2-3+5+3*-3x2 =

9

fill in the dimensions and angle measures . Are the dashed segments parallel ?

Answers

Answer:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.

There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.

Answers

We know that:

There are n arithmetic means between the numbers 33 and -3

second last mean: second mean = 1:5

Using this, we can find that the value of n is 9.

Now let's see how we need to use the information.

"There are n arithmetic means between the numbers 33 and -3"

This means that we will have a sequence like:

33, a₁, a₂, ..., aₙ, -3

And by the given ratio, we know that:

aₙ₋₂:a₂  = 1:5

Also, because this is an arithmetic sequence we have:

a₁ = 33 + d

a₂ = 33 + d + d

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

Because of the ratio, we will have that:

aₙ₋₂/a₂ = 1/5

We can replace what the left side by:

(-3 - 2*d)/(33 + 2*d) = 1/5

now we can solve this for d.

-3 - 2*d = (33 + 2*d)*(1/5)

5*(-3 - 2*d ) = (33 + 2*d)

-15 - 10d = 33 + 2d

-15 - 33 = 2d + 10d

-48 = 12d

-48/12 = -4 = d

So now we know that the value of d is -4.

Now we can use the equation

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

to find the value of n:

33 + (n - 2)*d = -3 - 2*d

33 + (n - 2)*-4 = -3 - 2*-4

33 - 4n + 8 =  -3 + 8

41 - 4n = 5

-4n = 5 - 41 = -36

n = 36/4 = 9

The value of n is 9.

If you want to learn more, you can read:

https://brainly.com/question/11559160

Answer:

Step-by-step explanation:

HI. just posted a question can u help me out pleas please

If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.

Answers

Answer:

Here,

A=-7

B=12

Length of AB=?

Now, We know that,

Length of AB=-7-12

=-19

Thus, the length of AB is -19

show me step by step : 22.04 x 9 =

Answers

Answer:

the answer is 198.36

Step-by-step explanation:

i dont know lol sorry

5/8k=25
how do i do this?

Answers

Answer:

[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]

I hope it helped U

stay safe stay happy

Answer:

k=1/40

Step-by-step explanation:

multiple both sides by 8k

5= 25×8k

simplify 25×8k to 200k

5=200k

divide both sides by 200

5/200=k

simplify 5/200 to 1/40

1/40= k

switch sides

k=1/40

The volume for a cylinder is ________, for a cone is _______, and for a sphere is_______

Answers

Here are the formulas

[tex]\boxed{\sf Volume_{(Cylinder)}=\pi r^2h}[/tex]

[tex]\boxed{\sf Volume_{(Cone)}=\dfrac{1}{3}\pi r^2h}[/tex]

[tex]\boxed{\sf Volume_{(Sphere)}=\dfrac{4}{3}\pi r^3}[/tex]

Answer:

The volume for a cylinder is πr2h, for a cone 1/3hπr², and for a sphere is 4/3πr³

Step-by-step explanation:

I hope this will help you

Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?

Answers

She has 5 more dollars in her bank account because she withdrew 20 which is -20 then added 25 and -20+25 is a positive 5 dollars in her bank account

HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-​

Answers

Answer:

10 points away

Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?

Answers

5m/s because 15/3 = 5

Solve for x please will mark brainliest

Answers

Answer:

[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]

can anyone help me please​

Answers

Answer:

fig.1 No, fig.2

Step-by-step explanation:

fig.1 is no because "a" has more than one output therefore it's not a function.

fig. 2 is yes because "a,b,c,d" have different outputs but not more than one

try the rest by yourself. have a good day and remember don't get stressed over the little things

if f(x)= 2(3x²-2x+2). Find:

A) f(x+1)
B) f(3)​
C) f(y-2)

Answers

A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)

Help me with this question!

Answers

Answer:

...

Step-by-step explanation:

Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!

Answers

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

y=x+5, or you could but y=1x+5 it’s the same thing

PLS HELP ITS URGENT

Answers

Answer:

Surface area=48 in^2

See the image for solution

WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step​

Answers

Answer:

1400m^2

Step-by-step explanation:

Let the breadth of the garden be a, therefore the length of the garden is (a+5).

The perimeter of the garden is the sum of all its sides, therefore:

Perimeter = a + a + (a+5) + (a+5) = 150

Simplifying the LHS of the equation:

4a +10 = 150

Subtracting 10 from both sides of the equation:

4a = 140

Dividing both sides by 4:

a = 35 = breadth

Therefore the length of the garden = (a + 5) = 40

Recall that the area of the garden is its length multiplied by its breadth, therefore:

Area = 35*40 = 1400

Answer:

area=1400

Step-by-step explanation:

length(l)=x+5

breadth(b)=x

Perimeter=2(l+b)

      150    =2(x+5+x)

         150 =2x+10+2x

    150-10=4x

       140=4x

         x=35          

therefore breadth=35

                 length=40

area=l*b

      =35*40

     =1400

Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0

Answers

Answer:

0.0300300030000...

Step-by-step explanation:

An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.

1632 can be written as 3264/2

0.25 can be written as 1/4

0 could be written as 0/0

but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.

pls hurrryyyyyyy #42 only and show work

Answers

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70

Estimate 26 to the nearest tenth. Then locate 26 on a number line.

Answers

Answer:

30 is the nearest tenth of 26

Other Questions
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