Graphical Behavior Review

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

How would the following graph differ from the graph of f(x)?

 $f\left(x-2\right)-4$  

• horizontal shift to the right 2 and vertical shift up 4

• horizontal shift to the right 2 and vertical shift down 4

• horizontal shift to the left 2 and vertical shift up 2

• horizontal shift to the left 2 and vertical shift down 2

The green line represents the function

 $y\ =\ x^2$ 
What function is represented by the blue line?

•  $y\ =\ -x^2\ -\ 3$  

•  $y\ =\ -x^2\ +\ 3$  

•  $y\ =\ -\left(x+3\right)^2$  

•  $y\ =\ -\left(x-3\right)^2$  

Tags

CCSS.HSF-IF.C.7A

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• $g\left(x\right)=x^3+1$

• $g\left(x\right)=x^3-1$

• $g\left(x\right)=\left(x-1\right)^3$

• $g\left(x\right)=\left(x+1\right)^3$

Tags

CCSS.HSF.BF.B.3

Describe the transformation from dotted to solid.

• f(x + 5) + 3
• f(x +3) + 5
• f(x - 5) + 3
• f(x - 3) + 5

Describe the transformation of the equation below from the parent function of y = IxI

y = -2Ix-3I+3

• reflected over x axis, vertical stretch by 2, right 3, up 3

• reflected over x axis, horiz. stretch by 2, left 3 up 3.

• reflected over x axis, vertical shrink by 2, right 3, up 3

• reflected over the x axis, horiz. shrink by 2, left 3, up 3

Which graphs have a line of symmetry? Check all of the boxes that apply.

• 
• 
•