Graphing a Quadratic Function in Vertex form with Transformation

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

y=(x+2)²+4

*Mark all that apply.

• reflection across x-axis

• left 2

• up 4

• right 2

y= -(x-11)²+6

*Mark all that apply.

• right 11

• reflection across x-axis

• VC

• up 6

Write the equation of this transformation: reflection across x-axis, left 2, down 5

• y= -(x+2)²+5

• y= -(x+2)²

• y= (x-2)²-5

• y= -(x+2)²-5

For the function below, select all the transformations.

 $f\left(x\right)=\left(x+5\right)^2-5$  

• Reflection

• Vertical Shift

• Horizontal Shift

• Stretch or compress

For the function below, select all the transformations.

 $f\left(x\right)=-x^2+7$  

• Reflection

• Vertical Shift

• Horizontal Shift

• Stretch or compress

Which equation is shown?

• y = (x+2)²

• y = x² -2

What's the vertex of the graph? 

• (-1,3)
• (1,3)
• (3,1)
• (-3,1)