Return to Assignments Quadratic functions and graphs

### Assignment 2

Given the function:

Answer the following questions:

- For which value of does the parabola have no intersection points with the -axis?
- Calculate the intersection point with the -axis.
- Does the graph has a maximum or a minimum?

### Solution

1. The parabola has no intersection points with the -axis, if , so:

2. In this case in the equation of the parabola equals and thus the intersection point with the -axi equals .

3. Unregarded the value of we have a parabola that opens up (because ) and thus we have a minimum.