Quadratic Function Transformation Review

stretched vertically

compressed vertically (shrink)

stretched horizontally

compressed horizontally (shrink)

y = x²

y = x² + 5

y = (x - 5)²

y = x² - 5

y = (x + 5)²

y = x²

y = x² + 4

y = x² - 4

y = (x + 4)² + 2

y = (x - 4)² + 2

The parent graph is reflected over the x-axis, has a vertical stretch by a factor of 2 and is shifted up 5 units.

The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 2 and is shifted up 5 units.

The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 2 and is shifted left 5 units.

The parent graph is reflected over the x-axis, has a vertical compression by a factor of 2 and is shifted up 5 units.

Vertical Compression

Vertical Stretch

Horizontal Shift RIGHT

Horizontal Shift LEFT

Reflection over the X-Axis

Vertical Shift DOWN

Vertical Shift UP

compress

stretch

stretch

compress

Vertical shrink by a factor of  $$\frac{1}{4}$$  

Vertical stretch by a factor of  $$\frac{1}{4}$$  

Reflection over x-axis

None of these