The graph of the line y=4x is translated right 3 and down 2 units.

y = 4 ( x − 3 ) − 2 y=4\left(x-3\right)-2 y = 4 ( x − 3 ) − 2

y = 4 ( x + 3 ) + 2 y=4\left(x+3\right)+2 y = 4 ( x + 3 ) + 2

y = 4 ( x + 3 ) − 2 y=4\left(x+3\right)-2 y = 4 ( x + 3 ) − 2

y = 4 ( x − 3 ) + 2 y=4\left(x-3\right)+2 y = 4 ( x − 3 ) + 2

The graph of the line y=4x is translated left 3 and down 2 units.

y = 4 ( x + 3 ) − 2 y=4\left(x+3\right)-2 y = 4 ( x + 3 ) − 2

y = 4 ( x + 3 ) + 2 y=4\left(x+3\right)+2 y = 4 ( x + 3 ) + 2

y = 4 ( x − 3 ) + 2 y=4\left(x-3\right)+2 y = 4 ( x − 3 ) + 2

y = 4 ( x − 3 ) − 2 y=4\left(x-3\right)-2 y = 4 ( x − 3 ) − 2

What equation would cause the black function to transform to the red function?

y = − f ( x ) y=-f\left(x\right) y = − f ( x )

y = f ( − x ) y=f\left(-x\right) y = f ( − x )

y = f ( x − 1 ) y=f\left(x-1\right) y = f ( x − 1 )

y = f ( x ) − 1 y=f\left(x\right)-1 y = f ( x ) − 1

What equation would cause the black function to transform to the red function?

y = f ( x + 2 ) − 4 y=f\left(x+2\right)-4 y = f ( x + 2 ) − 4

y = f ( x − 4 ) − 2 y=f\left(x-4\right)-2 y = f ( x − 4 ) − 2

y = f ( x + 4 ) − 2 y=f\left(x+4\right)-2 y = f ( x + 4 ) − 2

y = f ( x − 2 ) − 4 y=f\left(x-2\right)-4 y = f ( x − 2 ) − 4

y 2 = f ( 3 x ) \frac{y}{2}=f\left(3x\right) 2 y = f ( 3 x ) Describe the transformation that occurred to the parent function. REMEMBER: You have to get y alone.

Vertical stretch of 2, Horizontal shrink of 3

Vertical stretch of 2, Horizontal stretch of 3

Vertical shrink of 2, Horizontal stretch of 3

Vertical shrink of 2, Horizontal shrink of 3

3 y = f ( x + 1 ) 3y=f\left(x+1\right) 3 y = f ( x + 1 ) Describe the transformation that occurred to the parent function. REMEMBER: You have to get y alone.

Vertical shrink of 3, Shift left 1

Vertical stretch of 3, Shift right 1

Vertical shrink of 3, Shift right 1

Vertical stretch of 3, Shift left 1

y − 1 2 = f ( x + 3 ) \frac{y-1}{2}=f\left(x+3\right) 2 y − 1 = f ( x + 3 ) Describe the transformation that occurred to the parent function. REMEMBER: You have to get y alone.

Vertical stretch of 2, Shift left 3, Shift up 1

Vertical stretch of 2, Shift right 3, Shift down 1

Vertical shrink of 2, Shift right 3, Shift down 1

Vertical shrink of 2, Shift left 3, Shift up 1

f\left(x\right)\ =\ -4x+3 f ( x ) = − 4 x + 3 g\left(x\right)=7x-5 g ( x ) = 7 x − 5 What is f ( 3 ) f\left(3\right) f ( 3 ) ?

− 4 ( 3 ) + 3 = − 9 -4\left(3\right)+3=\ -9 − 4 ( 3 ) + 3 = − 9

− 4 ( 3 ) + 3 = 15 -4\left(3\right)+3=\ 15 − 4 ( 3 ) + 3 = 1 5

− 4 ( 3 ) + 3 = − 15 -4\left(3\right)+3=\ -15 − 4 ( 3 ) + 3 = − 1 5

− 4 ( 3 ) + 3 = − 40 -4\left(3\right)+3=-40 − 4 ( 3 ) + 3 = − 4 0

What is the equation of the graphed function?

y = 3 ∣ x − 3 ∣ − 3 y=3\left|x-3\right|-3 y = 3 ∣ x − 3 ∣ − 3

y = 3 ∣ x + 3 ∣ − 3 y=3\left|x+3\right|-3 y = 3 ∣ x + 3 ∣ − 3

y = 3 ∣ x − 3 ∣ + 3 y=3\left|x-3\right|+3 y = 3 ∣ x − 3 ∣ + 3

y = 1 3 ∣ x − 3 ∣ − 3 y=\frac{1}{3}\left|x-3\right|-3 y = 3 1 ∣ x − 3 ∣ − 3

What is the equation of the graphed function?

y = − x − 3 y=\sqrt{-x}-3 y = − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 3

y = x − 3 y=\sqrt{x}-3 y = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 3

y = x + 3 y=\sqrt{x}+3 y = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 3

y = − x − 3 y=-\sqrt{x}-3 y = − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 3

Chapter 3 Test Review

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, HSF.IF.A.2, HSF.IF.C.7

+14

Standards-aligned

Molly Mosketti

Used 100+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the graph represent a function?

Yes, it passes the vertical line test

No, it fails the vertical line test

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(2)

1

2

3

4

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(3)

1

2

3

4

Tags

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(-3)

-2

-1

0

1

2

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(6)

0

1

2

3

Tags

CCSS.HSF.IF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of the line y=4x is translated right 3 and up 2 units.

$y=4\left(x+3\right)+2$

$y=4\left(x+3\right)-2$

$y=4\left(x-3\right)+2$

$y=4\left(x-3\right)-2$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of the line y=4x is translated left 3 and up 2 units.

$y=4\left(x+3\right)+2$

$y=4\left(x+3\right)-2$

$y=4\left(x-3\right)+2$

$y=4\left(x-3\right)-2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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Chapter 3 Test Review

30 questions

Does the graph represent a function?

f(2)

f(3)

f(-3)

f(6)

The graph of the line y=4x is translated right 3 and up 2 units.

The graph of the line y=4x is translated left 3 and up 2 units.

The graph of the line y=4x is translated right 3 and down 2 units.

The graph of the line y=4x is translated left 3 and down 2 units.

Describe the transformation from the black graph to the red graph.

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