6.7-- Transformations of quadratic functions

6.7-- Transformations of quadratic functions

Parent Function of a Quadratic

• Vertex is at (0,0)

• Graph opens up

Transformations

• a - changes how wide or narrow the function is, direction of the opening

• h - moves the function left/right (always opposite)

• k - moves the function up and down

List the transformations

• Parent function

   $f\left(x\right)=x^2$  

• Transformation  $g\left(x\right)=\left(x+1\right)^2-5$  

• How did the function move?

Multiple Select

Given the parent function

 $f\left(x\right)=x^2$  , select all the transformations to the function  $g\left(x\right)=-\left(x-1\right)^2-2$  

• Reflection

• Right 1

• Left 1

• Up 2

• Down 2

Multiple Select

Given the parent function

 $f\left(x\right)=x^2$  , select all the transformations to the function  $g\left(x\right)=\left(x-6\right)^2$  

• Reflection

• Right 6

• Left 6

• Up 2

• Down 2

Multiple Select

Given the parent function

 $f\left(x\right)=x^2$  , select all the transformations to the function  $g\left(x\right)=\left(x+5\right)^2+1$  

• Reflection

• Right 5

• Left 5

• Up 1

• Down 1

Multiple Select

Given the parent function

 $f\left(x\right)=x^2$  , select all the transformations to the function  $g\left(x\right)=-x^2+3$  

• Reflection

• Right 3

• Left 3

• Up 3

• Down 3