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Chapter 3: Q. 7 (page 174)

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).

fx=-x-42

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given information.

The given quadratic function is fx=-x-42

02

Step 2. Determine the horizontal and vertical shift.

Compare the function withfx=x-h2+kand handk.

localid="1646225245025" fx=-x-42f(x)=ax-h2+kSo,h=4k=0a=-1

03

Step 3. plot the graph  of the parent function. 

Plot the graph of f(x)=x2.

04

Step 4. Reflect the graph about x-axis.

Reflect the graph of f(x)=x2about x-axis to plotf(x)=-x2.

05

Step 5. Horizontal shift of the graph.

Shift the graph of fx=-x2to 4 units right to plotf(x)=-(x-4)2.

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Most popular questions from this chapter

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