Return to Assignments Quadratic functions and graphs

### Assignment 10

For which value of do the parabolas:

have just one point in common.

### Solution

In the common points and the -coordinates are equal. In order to find the corresponding -coordinates also the right-hand sides of en have to be equal:

This equation has only one solution (actually two coinciding solutions) if:

Thus the two parabolas have only one common point if: