Solution assignment 01 Quadratic functions and graphs

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Assignments 1

Given the function:

Answer the following questions:

1. What is the intersection point of the graph with the -axis?
2. Does the graph have intersection points with the -axis, and if so, how many?
3. What is the symmetry axis?

Solution

1. Because in the formula equals , the intersection point with the -axis equals .
2. In order to find out whether the graph of the function has intersection points with the -axis, we have to calculate the discriminant:

The discriminant is greater than  and thus the graph has two intersection points with the -axis.

3. The symmetry axis is:

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