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Chapter 2: Q. 76 (page 114)

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

fx=x2-6x

Short Answer

Expert verified

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

fx=x-32-9

The required graph is given below,

Step by step solution

01

Step 1. Given information.

Consider the given expression,

fx=x2-6x

Add and subtract 9to the expression,

fx=x2-6x+9-9fx=x-32-9

02

Step 2. Plot the graph.

Consider the given question,

First, draw the function fx=x2.

Then shift it towards the right by 3unitsto form fx=x-32.

At last, shift it 9unitsdownwards to get fx=x-32-9.

Plot the graph,

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