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Chapter 2: Q. 78 (page 114)

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

fx=x2+4x+2

Short Answer

Expert verified

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

fx=x+22-2

The required graph is given below,

Step by step solution

01

Step 1. Given information.

Consider the given expression,

fx=x2+4x+2

Add and subtract 2to the expression,

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

02

Step 2. Plot the graph.

Consider the given question,

First, draw the function fx=x2.

Then shift it towards the left by 2to form fx=x+22.

At last, shift it 2unitsdownwards to get fx=x+22-2.

Plot the graph,

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