Horizontal and Vertical Shifts of Quadratic Functions

Given 

 $f\left(x\right)=\left(x-3\right)^2+5$  , what transformations took place from the original function f(x)?

• Left 3 and up 5

• Left 3 and down 5

• Right 3 and down 5

• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Name the parent function.

• Linear

• Cubic

• Quadratic

• Logarithmic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformations of f(x) when compared to the parent function.

 $f\left(x\right)=\left(x+7\right)^2$  

• Horizontal shift left 7

• Horizontal shift right 7

• Vertical shift up 7

• Vertical shift down 7

Tags

CCSS.HSF.BF.B.3

Match the equation to its description

 $y=\left(x-2\right)^2+2$  

• Right 2 and up 2

• Right 2 and down 2

• Left 2 and up 2

• Left 2 and down 2

Tags

CCSS.HSF.IF.C.7

Which equation describes the transformation of shifting

 $f\left(x\right)=x^2$  two units right?

•  $x^2+2$  

•  $\left(x+2\right)^2$  

•  $x^2-2$  

•  $\left(x-2\right)^2$  

Tags

CCSS.HSF.BF.B.3

Which transformation changes the graph of

 $f\left(x\right)=x^2$  to the graph of  $g\left(x\right)=\left(x+4\right)^2$  ?

• A vertical translation 4 units up

• A horizontal translation 4 units to the left

• A vertical translation 4 units down

• A horizontal translation 4 units to the right

Tags

CCSS.HSG.CO.A.4

Which transformation transforms the parent function to the graph of  $f\left(x\right)=\left(x+4\right)^2$  ?

• A vertical translation 4 units up

• A horizontal translation 4 units to the left

• A vertical translation 4 units down

• A horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

What is the parent function for a quadratic equation?

•  $y=x^2$  

•  $y=\sqrt{x}$  

•  $y=\frac{1}{x}$  

•  $y=x$  

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the graph of a quadratic function?

• Circle

• Square

• Parabola

• Ellipse

Tags

CCSS.HSF-IF.C.7A

 $y=3\left(x+5\right)^2-4$  

What is the vertex of the parabola?

•  $\left(5,-4\right)$  

•  $\left(-15,-4\right)$  

•  $\left(-5,-4\right)$  

•  $\left(15,-4\right)$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7