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Chapter 5: Q. 15 (page 441)

Use the method of completing the square and what we know about transformations of graphs to show that the vertex of the parabola f(x)=x2-3x+5isthepoint32,114

Short Answer

Expert verified

The graph of parabola isy=x2which is translating32units to the right and114units up.

Step by step solution

01

Step 1. Given Information

The given function isf(x)=x2-3x+5

02

Step 2. Explanation

Complete the square of the given function in order to make the function as an equation of parabola.

y=x2-3x+5y=x-322+112

Thus, the graph of parabola is y=x2which is translating 32units to the right and 114units up.

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