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Chapter 9: Q. 339 (page 964)

In the following exercise, fx=5x2-10x+8,

Part (a): rewrite the function in fx=ax-h2+kform.

Part (b): graph it by using transformations.

Short Answer

Expert verified

Part (a): The required function is fx=5x-12+3.

Part (b): The required graph is given below,

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given function,

fx=5x2-10x+8

Rewrite the function infx=ax-h2+kform by completing the square,

fx=5x2-2x+8fx=5x2-2x+1+8-5fx=5x-12+3

02

Part (b) Step 1. Graph the function using transformation.

Identify the constants,

a=5,h=1,k=3

Consider the function fx=x2.

Multiply y-values by 5,

fx=5x2

Shift right by localid="1645110838830" 1unit,

localid="1645110841773" fx=5x-12

Shift up by localid="1645110845366" 3unit,

localid="1645110847898" fx=5x-12+3

Plot the graph,

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