Transformations of a Quadratic

Describe the transformation of function f to g if

f(x)=x² and g(x)=(x - 4)²

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

Describe the transformation of the original red function f to become the new blue function g.

• Vertical stretch

• Vertical compression

• Reflection about the y-axis

• Horizontal compression

Describe the transformation of function f to g if

f(x)=x² and g(x)=x² + 2

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

Label how each number transforms the function

b

c

d

e

Left 3

Stretched by a factor of 2

Right 3

Reflected over the x-axis

Moves up 7

a

b

c

d

e

up

right

left

reflected

down

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

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

• stretch

• compress

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

(a)  

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

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

• compress

• stretch