2.7 Parent Functions and Transformations

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

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

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 is a quadratic function reflected over the x-axis and shifted up 2.

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

Describe the transformation

• left 2 up 5
• right 2 up 5
• left 2 down 5
• right 2 down 5

Tags

CCSS.HSF.BF.B.3

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 graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Describe the transformation.

• up 3

• down 3

• left 3

• right 3

Tags

CCSS.HSF.BF.B.3

What is the parent function for an absolute value function?

• f(x)=x³
• f(x)=x
• f(x)=IxI
• f(x)=x²

What is the parent function for a cubic function?

• f(x)=x³
• f(x)=x
• f(x)=IxI
• f(x)=x²

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5
• Shifts right 5
• Shifts up 5
• Shifts down 5