Math Problem Statement

Part 2 of 2

Question content area top left

Part 1

Use transformations of

f left parenthesis x right parenthesis equals x squaredf(x)=x2

to graph the following function.

g left parenthesis x right parenthesis equals negative 2 left parenthesis x plus 3 right parenthesis squared minus 2g(x)=−2(x+3)2−2

Question content area bottom left

Part 1

Select all the transformations that are needed to graph the given function using

f left parenthesis x right parenthesis equals x squaredf(x)=x2.

A.

Shift the graph

33

unitsunits

to the

leftleft.

Your answer is correct.

B.

Reflect the graph about the​ x-axis.

Your answer is correct.

C.

Shift the graph

22

unitsunits

downdown.

Your answer is correct.

D.

Shift the graph

22

unitsunits

upup.

E.

Stretch the graph vertically by a factor of

Your answer is correct.

F.

Shrink the graph vertically by a factor of

G.

Reflect the graph about the​ y-axis.

H.

Stretch the graph horizontally by a factor of

I.

Shift the graph

33

unitsunits

to the

rightright.

J.

Shrink the graph horizontally by a factor of

Part 2

Use the graphing tool to graph the function.

Click to enlarge graph

...

Question content area right

Part 1

-10-8-6-4-2246810-10-8-6-4-2246810xy

interactive graph

Select all the transformations that are needed to graph the given function using f left parenthesis x right parenthesis equals x squared.

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Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Transformations of Functions

Formulas

-

Theorems

-

Suitable Grade Level

High School