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Chapter 2: Q. 77 (page 114)

Complete the square of the quadratic expression. Then graph the function using the technique of shifting.

fx=x2-8x+1

Short Answer

Expert verified

On completing the square of the quadratic expression, we get,

fx=x-42-15

The required graph is given below,

Step by step solution

01

Step 1. Given information.

Consider the given expression,

fx=x2-8x+1

Add and subtract 16to the expression,

fx=x2-8x+16+1-16fx=x-42-15

02

Step 2. Plot the graph.

Consider the given question,

First, draw the function fx=x2.

Then shift it towards the right by 4unitsto form fx=x-42.

At last, shift it 15unitsdownwards to get fx=x-42-15.

Plot the graph,

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Most popular questions from this chapter

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