Write the equation for a graph that is vertically compressed by a factor of 2 5 \frac{2}{5} 5 2 and shifted right 6.

y = 2 5 ∣ x − 6 ∣ y=\frac{2}{5}\left|x-6\right| y = 5 2 ∣ x − 6 ∣

y = 6 ∣ x ∣ − 2 5 y=6\left|x\right|-\frac{2}{5} y = 6 ∣ x ∣ − 5 2

y = 2 5 ∣ x ∣ + 6 y=\frac{2}{5}\left|x\right|+\ 6 y = 5 2 ∣ x ∣ + 6

y = 2 5 ∣ x + 6 ∣ y=\frac{2}{5}\left|x+6\right| y = 5 2 ∣ x + 6 ∣

What are the transformations of this functions compared to the parent function?

Reflected over the x-axis, vertical stretch, and shifted right 5

Shifted right 5, shifted down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch, and shifted left 5

Shifted right 5, shifted down 2

What are the transformations to the graph compared to the parent function?

Shifted right 2, shifted up 3, and reflected over the x-axis

Shifted right 2, shifted up 3, and reflected over the y-axis

Shifted left 2, shifted up 3, and reflected over the y-axis

Shifted left 2, shifted up 3, and reflected over the x-axis

Let f ( x ) = x f\left(x\right)=\sqrt{x} f ( x ) = 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"> and g ( x ) = − 3 x − 2 + 1 g\left(x\right)=-3\sqrt{x-2}+1 g ( x ) = − 3 x − 2 <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"> + 1 . Describe g(x) in terms of f(x):

reflects over x axis, vertical stretch by 3, right 2, up 1

reflects over y axis, vertical compression by -3, left 2, up 1

reflects over x axis, vertical stretch by -3, left 2, up 1

reflects over y axis, vertical compression by 1/3, right 2, up 1

Given the original exponential function defined by y=4 x , how would the graph change if the function were: y=2(4) x-3 +1?

Vertically stretched by a factor of 2, right 3, and up 1

Vertically compressed by a factor of 1/2, left 3 and down 1

Vertically compressed by a factor of 1/2, right 3, and down 1

Vertically stretched by a factor of 2, left 3, and up 1

What is the transformation?

Vertical Translation down 2 and Horizontal Translation left 1

Vertical Translation up 2 and Horizontal translation right 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

Parent Transformations

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Practice Problem

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CCSS

HSF.BF.B.3, HSA.CED.A.2, 6.NS.C.6B

Standards-aligned

Martica Flores

Used 223+ times

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20 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Describe the transformation of the equation below from the absolute value parent function
$y=-2\left|x-3\right|+3$

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Write the equation for a graph that is vertically compressed by a factor of $\frac{2}{5}$ and shifted right 6.

$y=6\left|x\right|-\frac{2}{5}$

$y=\frac{2}{5}\left|x\right|+\ 6$

$y=\frac{2}{5}\left|x+6\right|$

$y=\frac{2}{5}\left|x-6\right|$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

f(x) = |2x + 1| - 9

f(x) = |2x - 1| - 9

f(x) = 2|x + 1| - 9

f(x) = 2|x - 1| - 9

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Describe the transformations from the parent graph to $f\left(x\right)=-3\left|x+5\right|-7$

Down 7, Left 5, Stretch by 3, Flip

Up 7, Right 5, Stretch by 3, Flip

Down 7, Left 5, Compress by 3, Flip

Up 7, Right 5, Compress by 3, Flip

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Describe the transformation of the equation below from the absolute value parent function of $y=\left|x+3\right|$

Left 3

Right 3

Up 3

Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What steps transform the graph y = x² to y = 2(x+2)² - 5?

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Stretch by 2, shifted 2 units left and 5 down

Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

What steps transform the graph $y=x^2$ to $y=-\frac{1}{2}\left(x-4\right)^2+1$ ?

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

Tags

CCSS.HSF.BF.B.3

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Parent Transformations

20 questions

Describe the transformation of the equation below from the absolute value parent function
$y=-2\left|x-3\right|+3$

Write the equation for a graph that is vertically compressed by a factor of $\frac{2}{5}$ and shifted right 6.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

Describe the transformations from the parent graph to $f\left(x\right)=-3\left|x+5\right|-7$

Describe the transformation of the equation below from the absolute value parent function of $y=\left|x+3\right|$

What steps transform the graph y = x² to y = 2(x+2)² - 5?

What steps transform the graph $y=x^2$ to $y=-\frac{1}{2}\left(x-4\right)^2+1$ ?

What steps transform the graph y = x² to y = x² + 8

Match the description to its equation.
Moves up 2
Moves left 4

Match the equation to its description.

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Parent Transformations

20 questions

Describe the transformation of the equation below from the absolute value parent function y=−2∣x−3∣+3y=-2\left|x-3\right|+3y=−2∣x−3∣+3

Write the equation for a graph that is vertically compressed by a factor of 25\frac{2}{5}52​ and shifted right 6.

Write an absolute value function given the following transformations:Vertical Stretch of 2Horizontal shift left 1 unitVertical shift down 9 units

Describe the transformations from the parent graph to f(x)=−3∣x+5∣−7f\left(x\right)=-3\left|x+5\right|-7f(x)=−3∣x+5∣−7

Describe the transformation of the equation below from the absolute value parent function of y=∣x+3∣y=\left|x+3\right|y=∣x+3∣

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

What steps transform the graph y=x2y=x^2y=x2 to y=−12(x−4)2+1y=-\frac{1}{2}\left(x-4\right)^2+1y=−21​(x−4)2+1 ?

What steps transform the graph y = x2 to y = x2 + 8

Match the description to its equation.Moves up 2Moves left 4

Match the equation to its description.

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Describe the transformation of the equation below from the absolute value parent function
$y=-2\left|x-3\right|+3$

Write the equation for a graph that is vertically compressed by a factor of $\frac{2}{5}$ and shifted right 6.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

Describe the transformations from the parent graph to $f\left(x\right)=-3\left|x+5\right|-7$

Describe the transformation of the equation below from the absolute value parent function of $y=\left|x+3\right|$

What steps transform the graph y = x² to y = 2(x+2)² - 5?

What steps transform the graph $y=x^2$ to $y=-\frac{1}{2}\left(x-4\right)^2+1$ ?

What steps transform the graph y = x² to y = x² + 8

Match the description to its equation.
Moves up 2
Moves left 4