Transformation of a Quadratic Function

Which statements describe the effects on the graph of the quadratic parent function, f(x)=x^2?

• The graph is reflected across the x-axis.

• The graph is horizontally stretched by a scale factor of 2.

• The graph is horizontally shifted three units to the right.

• The graph is vertically shifted one unit down.

• F

• G

• H

• J

• 9,0

• 0,9

• -9,0

• 0,-9

What function describes the relationship between graph of g which is 7 units above the of the parent function f .

• g(x)=(x - 7)^2

• g(x)=(x + 7)^2

• g(x)= x^2+ 7

• g(x)= x^2- 7

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

b

c

d

Horizontal Dilation

Horizontal Translation

Vertical Dilation

Vertical Translation

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

b

c

d

e

up

right

reflected

down

left

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

f

g

e

d