Transformations of Quadratics

For the function below, select all the transformations.

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

• Reflection

• Vertical Shift

• Horizontal Shift

• Stretch or compress

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

For the function below, select all the transformations.

 $f\left(x\right)=\frac{1}{2}x^2$  

• Reflection

• Vertical Shift

• Horizontal Shift

• Stretch or compress

For the function below, select all the transformations.

 $f\left(x\right)=2x^2+8$  

• Reflection

• Vertical Shift

• Horizontal Shift

• Stretch or compress

For the function below, select all the transformations.

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

• Reflection

• Vertical Shift

• Horizontal Shift

• Stretch or compress

Where is the vertex of the graph:

 $y=\left(x+4\right)^2-1$  

• (4, 1)

• (-1, 4)

• (-4, -1)

• (-4, 0)

Where is the vertex of the graph:

 $y=\left(x-5\right)^2+3$  

• (3, 5)

• (5, 3)

• (-5, -3)

• (3, -5)

Where is the vertex of the graph:

 $y=-\left(x-1\right)^2-6$  

• (6, 1)

• (-1, -6)

• (6, -1)

• (1, -6)

Does the function have a maximum or minimum point?

 $y=-2x^2+5$  

• Maximum

• Minimum