Parent Transformations

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

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

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

 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

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

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

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

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

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7