8.4 Identifying Transformations of Quadratics Notes

What has happened from the PINK graph to the BLACK graph?

• The graph was reflected.

• The graph was stretched taller.

• The graph was compressed shorter.

• The graph was shifted up.

What has happened from the PINK graph to the BLACK graph?

• The graph was reflected.

• The graph was stretched taller.

• The graph was compressed shorter.

• The graph was shifted down.

What has happened from the PINK graph to the BLACK graph?

• The graph was reflected.

• The graph was stretched taller.

• The graph was compressed shorter.

• The graph was shifted down.

 $y=a\left(x-h\right)^2+k$  

What could changing the a-value do to a quadratic?
SELECT ALL THAT APPLY!

• reflection over x-axis

• shift up

• shift right

• vertical stretch/shrink

SELECT ALL transformations that apply.

 $y=2x^2$  

• vertical shrink by a factor of 2

• vertical stretch by a factor of 2

• shift up by 2

• shift right by 2

• reflection over the x-axis

SELECT ALL transformations that apply.

 $y=-x^2$  

• vertical shrink by a factor of 1

• vertical stretch by a factor of 1

• shift down by 1

• shift left by 1

• reflection over the x-axis

SELECT ALL transformations that apply.

 $y=\frac{1}{3}x^2$  

• vertical shrink by a factor of 1/3

• vertical stretch by a factor of 3

• shift up by 1/3

• shift left by 1/3

• reflection over the x-axis

SELECT ALL transformations that apply.

 $y=-0.5x^2$  

• vertical shrink by a factor of 0.5

• vertical stretch by a factor of 0.5

• shift down by 0.5

• shift left by 0.5

• reflection over the x-axis

What has happened from the PINK graph to the BLACK graph?

• The graph has reflected.

• The graph has shifted up.

• The graph has shifted down.

• The graph has shifted left.

What has happened from the PINK graph to the BLACK graph?

• The graph has reflected.

• The graph has shifted up.

• The graph has shifted down.

• The graph has shifted left.