Parent functions transformations and shifts

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

Dale graphed the absolute value parent function. Then, he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

• f(x) = -Ix+4I +3

• f(x) = Ix+4I -3

• f(x) = -Ix+3I +4

• f(x) = -Ix-4I +3

What is the equation to this graph?

• f(x)= Ix+2I +1
• f(x)= Ix-2I +1
• f(x)= Ix+2I -1
• f(x)= Ix-2I -1

Tags

CCSS.HSF-IF.C.7D

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 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

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

Tags

CCSS.HSF-IF.C.7B

What is the equation of the PARENT  function?

• f(x) = 2^x
• f(x) = x³
• f(x) = |x|
• f(x) = x

 $x=-2$  

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function

Tags

CCSS.HSF.BF.B.3