Alg. 2 Quiz 1

• Left 2, Down 2, Vertical Stretch
• Right 2; Up 1; 
• Vertical Stretch; Right 2; Up 1
• Left 2; Down 2;

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

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

•  $y=6\left|x\right|-\frac{2}{5}$  

•  $y=\frac{2}{5}\left|x\right|+\ 6$ 

•  $y=\frac{2}{5}\left|x+6\right|$  

•  $y=\frac{2}{5}\left|x-6\right|$ 

 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

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

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

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

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

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

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• 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 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
• Shifted right 2, shifted up 3, and reflected over the x-axis