The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g horizontally shifted left 3 units.
B.
The graph of h is the graph of g vertically shifted down 3 units.
C.
The graph of h is the graph of g horizontally shifted right 3 units.
D.
The graph of h is the graph of g vertically shifted up 3 units.

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is f(x) translated horizontally

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given that h(x) = g(x - 3) , then

The graph of h(x) is the graph of g(x) horizontally shifted 3 units right

Answer 2

Answer:

C

Step-by-step explanation:  I took the test


Related Questions

9/8x²+2x-15 - 5/2x³+3x + 4/4x²-5x​

Answers

Answer:

[tex]-\frac{5}{2} x^{3} +\frac{17}{8} x^{2} -15[/tex]

Step-by-step explanation:

First combine like terms so for numbers with x^3 you have one:

-[tex]\frac{5}{2} x^{3}[/tex]

Then x^ 2

[tex]\frac{9}{8}x^{2} +x^{2}[/tex]

(4/4x^2 is just x^2 because 4/4 is 1)

So

[tex]\frac{17}{8} x^{2}[/tex]

Then all numbers with x cancel out because

2x+3x-5x is 0.

Then you just have -15.

So put them back together to get what I wrote in the answer.

Hope that helps lmk if I calculated that wrong!

у = 3(х – 4)2 – 8
How do you write this in standard form

Answers

Answer:

[tex]y = 3x^2-24x+40[/tex]

Step-by-step explanation:

Hi there!

Standard form: [tex]y=ax^2+bx+c[/tex]

[tex]y = 3(x-4)^2-8[/tex]

Solve [tex](x-4)^2[/tex]

[tex]y = 3(x^2-8x+16)-8[/tex]

Multiply 3 by the parentheses

[tex]y = 3x^2-24x+48-8\\y = 3x^2-24x+40[/tex]

I hope this helps!

Good Afternoon. I hope you’re well:) I need to understand how to go about solving this without a calculator, please. Thank you so much and have a blessed day!

Answers

Answer:

Step-by-step explanation:

Being able to do this requires that you understand what is being asked and that you understand domain. This is a piecewise function, made up of 4 different parts, and each part has a domain different from every other part. Now look at the solutions. We are given coordinates, x and y. So this is how this problem is done.

In a. the coordinate is (-1, 1), right? x = -1 here, so the equation that we "pick" (I'll explain that in a sec) has to have a domain where -1 will fall. The first part of this piecewise has a domain of less than or equal to -11. Is -1 less than or equal to -11? No, it is not. -1 is greater than -11, so the equation we "pick" to use will not be this one. Look at the next piece of the function and note its domain. This domain is that x is greater than -11 and less than 5. Does -1 fit in that domain? Is -1 included in that spread of numbers? Yes it is, so that is the equation we will use. By use I mean that we will plug in -1 for x and see if y = 1 (that number comes from the coordinate (-1, 1) where y = 1). The equation is y = x + 2 and plugging in -1 for x:

y = -1 + 2 so

y = 1 and this point is on the piecewise. Let's do one more example so you can see how it looks when it DOESN'T work out, ok?

Look at b. The coordinate is (-2, -10). x = -2, so the same domain, same equation: x + 2. We plug in -2 for x to find y:

y = -2 + 2 so

y = 0.  0 does not equal -10, so this point is not on that graph.

The key here is picking the equation whose domain includes your x value and evaluating the equation at that value of x to find y.

Graph the function.
is it a, b, c or d?

Answers

Answer:

D

Step-by-step explanation:

Equation of line is y=2x-2

Doanh nghiệp bán trả góp 1 bất động sản có giá thanh toán là 32.000trđ . Thu điều cả vốn lẫn lãi trong 10 năm với lãi suất trả chậm là 10% / năm . Xác định số vốn phải thu ở năm thứ 6 ?

Answers

Answer:

Step-by-step explanation:

Find the value of x that will make L||M.
6x + 8
4x + 2
X =[?]

Answers

Answer:

6x+8+4x+2=180

so!! 10x+10=180

10x=170

x=17

Answer:

[tex]x=17[/tex]

Step-by-step explanation:

The two angles labelled [tex]6x+8[/tex] and [tex]4x+2[/tex] are co-interior angles. When two parallel lines are cut by a traversal, co-interior angles are supplementary, meaning they add up to 180 degrees. Therefore, if line L is parallel to line M, [tex]6x+8[/tex] and [tex]4x+2[/tex] must be supplementary:

[tex]6x+8+4x+2=180[/tex]

Combine like terms:

[tex]10x+10=180[/tex]

Subtract 10 from both sides:

[tex]10x=170[/tex]

Divide both sides by 10:

[tex]x=\frac{170}{10}=\boxed{17}[/tex]

Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for Jorge's age?

(7 x 2) + 3
7 − (2 + 3)
(14 ÷ 2) + 3
14 ÷ (7 − 3)

Answers

Answer:

3rd Part

(14÷2) + 3

Step-by-step explanation:

The 3rd part is the answer and on solving the equation, 10 comes as the answer.

Answer:

(14 ÷ 2) + 3

Step-by-step explanation:

Find the missing side lengths

Answers

Answer:

x = 4; y = 2

Step-by-step explanation:

x = 2[tex]\sqrt{3}[/tex] ÷ sin60

= 2[tex]\sqrt{3}[/tex] ÷  [tex]\frac{(\sqrt{3} )}{2}[/tex]

= 4

y = 2[tex]\sqrt{3}[/tex]  ÷ tan60

= 2 [tex]\sqrt{3}[/tex] ÷ [tex]\sqrt{3}[/tex]

= 2

I wasn't sure about my answer so used the Gauthmath app

Helpppp
Graph the quadratic function y 9x Ox 140. What are the solutions of the quadratic equation 0 - 0 - 6x
140?

Answers

Answer:

                  Answer:bf                  

Step-by-step explanation:

Your cellphone plan is by the minute . Each minute of use costs $0.10 . Create a relation that represents the amount spent ,A, per minute ,m, of call time . Then, use the relation to find the amount spent if you talk 65 minutes. Show your work.

Answers

Answer:

Talking 65 minutes, $ 6.50 must be paid.  

Step-by-step explanation:

Since your cell phone plan is by the minute, and each minute of use cost $ 0.10, to create a relation that represents the amount spent, A, per minute, m, of call time, and then use the relation to find the amount spent if you talk 65 minutes, the following calculations must be performed:

0.10 x M = A

0.10 x 65 = A

6.50 = A

Work out the mean for the data set below:
603,607

Answers

(603+607)/2 = 1210/2 = 605

Please help! The answer isn’t 36!
Find the value of the expression:

Answers

Answer:

3.6

Step-by-step explanation:

Hi there!

We are given this expression:

.6√36 (.6*√36)

And we want to find the value of it

.6 can be re-written as 0.6

In that case,

0.6*√36

First, simplify what's under the radical: √36, which is equal to 6 (6*6=36)

The expression then becomes:

0.6*6

Multiply those numbers together

0.6*6=3.6

Hope this helps!

I'm not sure how to answer this!!

Answers

Answer:

I think it's a

Step-by-step explanation:

hsjshbwibs hshhsvsu hshsbsbus

n is a whole number such that 6< 3n < 15 List all the possible values of n.​

Answers

Answer:

3, 4

Step-by-step explanation:

6 < 3n < 15

Divide the three "sides" by 3.

2 < n < 5

n must be between 2 and 5,a nd it must be a whole number.

n can be 3 or 4

Answer:

n= 3, and n=4

Step-by-step explanation:

whole numbers are : 0,1,2,3,4,5,....

6 < 3n < 15  

(3n has to be greater than 6 and less than 15 not including 6 and 15)

for n=3 we have 3n =9

for n=4 we have 3n= 12

1 Which one of the following expression represents the sum of the expressions (5x - 13xy + 14y) and (12xy - 6x - 12y)?​

Answers

Answer:

(12xy-6x -12y)

12xy-18xy

6xy

Answer:

- xy - x + 2y

Step-by-step explanation:

5x - 13xy + 14y + 12xy - 6x - 12y ← collect like terms

= (- 13xy + 12xy) + (5x - 6x) + (14y - 12y)

= - xy - x + 2y

Find the surface area of the right rectangular shown below hurry plss

Answers

Surface area of a cuboid

= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]

= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²

= (20 + 10 + 16) units²

= 46 units²

85 metres^2 is answer

Please help me! I cant figure this out

Answers

AB is the same as A multiplied by B. In order to get this value, we need to figure out the value of A and B.

We have two equations here:

a + 5b = 2b + 13

a = 3b - 5

The second equation already has A isolated. So, we can take that equation and plug in the value for A. Doing so will allow us to solve for B.

(3b - 5) + 5b = 2b + 13

8b - 5 = 2b + 13

6b - 5 = 13

6b = 18

b = 3

Now that we know B, we can use our equation that isolated A.

a = 3(3) - 5

a = 9 - 5

a = 4

Therefore, a = 4 and b = 3, and ab = 12.

Hope this helps!

Akiba started studying how the number of branches on his tree changes over time.
The relationship between the elapsed time, ttt, in years, since Akiba started studying his tree, and the total number of its branches, N(t)N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function:
N(t)=42⋅(1.75)t
Complete the following sentence about the yearly percent change in the number of branches.
Every year,
\%%percent of branches are

the total number of branches.

Answers

Answer:

every year the branches increase 75%

Step-by-step explanation:

increases 75% each year

Instructions: Point R is the centroid. Find DU if DR = 14.

Answers

Answer:

21

Step-by-step explanation:

If DR measures 14, DU will have to measure DR + half the measure of DR

DU = 14 + 7

Du = 21

Any close answers to this will be correct!

sec²x + cosec²x ≡sec²xcosec²x​

proving qn pls i nd it by tdy

Answers

Step-by-step explanation:

sec²x + cosec²x = sec²x.cosec²x

1/cos²x + 1/sin²x = 1/cos²x.1/sin²x

or, (sin²x+cos²x)/sin²x.cos²x = 1/(sin²x.cos²x)

or, 1/(sin²x.cos²x) = 1/(sin²x.cos²x)

Hence,

sec²x + cosec²x = sec²x.cosec²x proved!!

Solve the equation. Type the value of the variable in the answer box below. (Note: repeating decimals should be entered into the answer box as improper fractions.)

88=10+30−4

Answers

Answer: y = 9⅓

Step-by-step explanation:

The equation given here is

88 = 10y + 30 - 4y

The first thing to do is to collect terms

88 - 30 = 10y - 4y.

58 = 6y

Divide both side by 6

6y = 58

6y/6 = 58/6

y = 9 ⅓

Therefore, the value of y is 9⅓.

If Tanya cleans a 1500 square foot building for a total of $107.00, what is the amount Tanya gets paid per square foot?

Answers

Answer:

Tanya will get approximately $0.07 per square foot.

This can be solved by creating a ratio between the amount she is paid and the amount of square feet she cleans.

(1500)/(107)=(1)/(x) = 0.0713

Answer:

0.0713

Step-by-step explanation:

Tanya will get approximately $0.07 per square foot.

This can be solved by creating a ratio between the amount she is paid and the amount of square feet she cleans.

(1500)/(107)=(1)/(x) = 0.0713

Which of the following statements follows from (x - 3)2 = 7?

Answers

Answer:

x = 17

Step-by-step explanation:

(x-3)2 = 7

Divide both sides by two

(x-3)2 = 7

2 2

x-3= 31/2

x= 31/2-3

x= 1/2 or 0.5

(x-3) 2= 7
x-3 = 7/2
x = (7/2) × 3
x = 21/2 or 10.5

SOMEONE HELP ME PLEASE

Answers

Answer:

(36+22+19)=77

then add red and yellow

=(36+22)

=58

then the probability will be

58/77

HOPE IT HELP YOU.......

If x=3 ,y=4 than what is the value?

Answers

I am pretty sure it is 91

Proving That Congruent Central Angles Have Congruent Chords
Given: ⊙O with central angles ∠AOC ≅ ∠BOD

Prove: AC ≅ BD

Circle O is shown. Line segments O A, O C, O B, and O D are radii. Line segments connect points A and C and points B and D to form 2 triangles inside of the circle. Angles A O C and B O D are congruent.

Complete the missing parts of the paragraph proof.

Proof:

We know that central angles
are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because
. Then by the
congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because
.

Answers

Answer:

1. AOC and BOD.

2. all radii of a circle are congruent

3. SAS

4. CPCTC

Step-by-step explanation:

I did it on edge. ALSO PLS GIVE ME BRAINLIEST

Answer:

1. AOC and BOD.

2. all radii of a circle are congruent

3. SAS

4. CPCTC

Step-by-step explanation:

1. Take a look at the steps below for solving the
equation 4(3 - 2x) = -20.
Step 1: 4(3 - 2x) = -20
Step 2: 12 - 8x = -20
Step 3: 12-8x - 12 = -20 - 12
Step 4: - 8x + 0 = -32
Step 5:
- 8x = -32
1
Step 6. - 8x
-1
8
8
Step 7:
x = 4
1
= -32
Which property justifies the work between ...
A. Step 1 and Step 2?
B. Step 2 and Step 3?
C. Step 3 and Step 4?
D. Step 4 and Step 5?
E. Step 5 and Step 6?
F. Step 6 and Step 7?

Answers

Answer:

x= 1

Step-by-step explanation:

Work is shown in the picture

multiple choice question! g

Answers

Answer:

D. A 2d drawing

Step-by-step explanation:

It is a 2d drawing because the view consists of two-dimensional elements.

Can someone help me with this math homework please!

Answers

Answer:

(-3,-6) and (-3,2)

Step-by-step explanation:

A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3

Find the distance between the points (-2, -10) and (-9,-5) on a coordinate plane.

Answers

Answer:

√74

Step-by-step explanation:

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