Question

A certain quadratic function has x-intercepts at 2 and 3. What are the x-coordinates of its vertex?

Answer 1

Answer:  D) 5/2

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Explanation:

The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.

Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2

Note: 5/2 = 2.5