Return to Assignments Quadratic functions and graphs

### Assignments 1

Given the function:

Answer the following questions:

- What is the intersection point of the graph with the -axis?
- Does the graph have intersection points with the -axis, and if so, how many?
- 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: