Transformations of Quadratic Functions (h&k)

Describe this function:

 $y=x^2+4$  

• A parabola translated 4 units upwards

• A parabola translated 4 units downwards

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe this function:

 $y=x^2-3$  

• A parabola translated 3 units upwards

• A parabola translated 3 units downwards

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Sketch this function:

 $y=x^2+2$  

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Sketch this function:

 $y=\left(x-2\right)^2$  

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe this function:

 $y=\left(x-1\right)^2$  

• A parabola translated 1 unit to the right

• A parabola translated 1 unit to the left

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe this function:

 $y=\left(x+3\right)^2$  

• A parabola translated 3 units to the right

• A parabola translated 3 units to the left

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe this function:

 $y=\left(x-3\right)^2+5$  

• A parabola translated 5 units up and 3 units to the right

• A parabola translated 5 units down and 3 units to the right

• A parabola translated 5 units up and 3 units to the left

• A parabola translated 5 units down and 3 units to the left

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe this function:

 $y=\left(x+4\right)^2-2$  

• A parabola translated 2 units up and 4 units to the right

• A parabola translated 2 units down and 4 units to the right

• A parabola translated 2 units up and 4 units to the left

• A parabola translated 2 units down and 4 units to the left

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Sketch this function:

 $y=\left(x-3\right)^2-6$  

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Choose the function that matches this description:

A parabola translated 4 units down and 3 units to the right

•  $y=\left(x-3\right)^2+4$  

•  $y=\left(x-3\right)^2-4$ 

•  $y=\left(x+3\right)^2+4$  
  

•  $y=\left(x+3\right)^2-4$  
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7