Transforming Quadratic Functions

Compare the function $y=5x^2$  to the parent function  $y=x^2$ . 

• Wider

• Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation of $y=x^2+4$  

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

Describe the transformation of $y=x^2-5$ . 

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which quadratic is the narrowest graph?

• $y=3x^2$

• $y=4x^2$

• $y=2x^2$

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

If the blue graph represents $f(x)=x^2$   , then the red graph must be

•  $g(x)=x^2-5$  

•  $g(x)=x^2+5$  

•  $g(x)=(x-5)^2$  

•  $g(x)=(x+5)^2$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If the blue graph represents $f(x)=x^2$ , then the red graph must be

•  $g(x)=(x+3)^2$  

•  $g(x)=(x-3)^2$  

•  $g(x)=x^2+3$  

•  $g(x)=x^2-2$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

How is the graph of $y=2x^2+3$ different from the graph of  $y=2x^2$  ?

• It is shifted 3 units left.

• It is shifted 3 units right.

• It is shifted 3 units down.

• It is shifted 3 units up.

Tags

CCSS.HSF.BF.B.3

Describe the transformations in the function:  $y=\left(x-2\right)^2+2$ . 

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Which function has a translation of 3 units to the left?

• $f(x)=3x^2+1$

• $f(x)=(x+3)^2+1$

• $f(x)=(x-3)^2+1$

• $f(x)=(x+1)^2-3$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4