Return to Assignments Quadratic functions and graphs

### Assignment 4

The equation of a parabola is:

For which value of does the top of this parabola lie on the line:

### Solution

The coordinates of the intersection points of this parabola with the -axis are and . The symmetry axis lies just in the middle between these two points and thus we have:

The -coordinate of the top is:

The top lies on the line so we have:

and thus:

or