Function Transformations

What is the parent function for an absolute value function?

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Match the equation to its description.

• Reflected over x and stretched by 3
• Stretched by 3
• Reflected over x
• Reflected over x and up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Tags

CCSS.HSF.BF.B.3

What is the increasing interval for the function below?

• $\left(-\infty,\infty\right)$

• $\left(-\infty,2\right]$

• $\left(-\infty,6\right]$

• $\left(-6,6\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is/are the increasing interval(s) for the function shown?

• $\left(-3,\ 1\right)$

• $\left(4,\ 8\right)$

• $\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is/are the decreasing interval(s) for the function shown?

•  $\left(2,\ 4\right)\ and\ \left(8,\ \infty\right)$ 

•  $\left(-\infty,\ 1\right)\ and\ \left(8,\ \infty\right)$ 

•  $\left(-\infty,1\right),\ \left(-3,\ 1\right)\ and\ \left(8,\ \infty\right)$ 

•  $\left(-\infty,\ 1\right),\ \left(2,\ 4\right)\ and\ \left(8,\ \infty\right)$ 

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the decreasing interval on the function shown?

• $\left(-\infty,\ 1\right)$

• $\left(-\infty,\ 2\right)$

• $\left(2,\ \infty\right)$

• $\left(1,\ \infty\right)$

Tags

CCSS.HSF-IF.C.7A