Transformation of Quadratic Functions

Describe the transformations from f(x)=x² to g(x)=1/4x²+4

• Reflected across x axis, up 4 units

• Vertical shrink by 1/4, up 4 units

• Vertical stretch by 4, up 4 units

• Vertical string by 1/4, left 4 units

Which function's graph is the result of shifting the graph of f(x)=-x²-4 3 units down?

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

Comparing to f(x)=x², select all of the transformations of g(x)=-5x²+11

• Reflected over x axis

• Vertical stretch by 5

• Vertical stretch by 11

• Up 11

• Left 11

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

• Reflection over x-axis

• None of these

a

b

c

d

Vertical Translation

Horizontal Dilation

Horizontal Translation

Vertical Dilation

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

a

b

c

d

e

left

down

reflected

right

up

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

Label how each number transforms the function

b

c

d

e

Moves up 7

Right 3

Left 3

Stretched by a factor of 2

Reflected over the x-axis