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:
