Transformations of Quadratic Functions

What is the range of this quadratic function?

• $y\ge4$

• $y\le4$

• $y\ge-2$

• $y\le-2$

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the quadratic function,

 $f\left(x\right)=\left(x-3\right)^2-7$  

• (3, 7)

• (-3, 7)

• (3, -7)

• (-3, -7)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the quadratic equation,

 $y=\left(x+6\right)^2+4$  

• (-6, 4)

• (6, 4)

• (6, -4)

• (-6, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

If the blue graph is
f(x) = x² 
then the red must be...

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

What transformations have occurred from  $y\ =\ x^2$  ? 

• 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.HSG.CO.A.2

Match the description to its equation:

 $y\ =\ x^2$  moves down 3

• A

• B

• C

• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Describe the transformation from

 $y\ =\ x^2$  .

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Match the correct transformation from.
 $y\ =\ x^2$  
Moves up 2
Moves left 4

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7