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Chapter 9: Q. 343 (page 964)

In the following exercise, fx=-2x2+8x-10

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=-2x-22-2.

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

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given function,

fx=-2x2+8x-10

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

fx=-2x2-4x-10fx=-2x2-4x+4-10+8fx=-2x-22-2

02

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

Identify the constants,

a=-2,h=2,k=-2

Consider the function fx=x2.

Multiply y-values by-2,

fx=-2x2

Shift right by 2units,

fx=-2x-22

Shift down by 2units,

fx=-2x-22-2

Plot the graph,

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