IDENTIFYING THE POINT OF INTERSECTION
BETWEEN A LINE AND A QUADRATIC

Practice 1.    

Find the solution to the two graphs.

                                                       

Solution:

The graphs intersect at one point. The coordinates of this point is (1, 2).

Using Desmos

Practice 2.    

Find the point(s) of intersection of the two equations.

y = -x² - 2x + 1

y = x + 4

Solution:

1) Type into a Google search “Desmos Graphing Calculator” and select “Graphing Calculator – Desmos.”

2) Type the two equations into equations 1 and 2 on the left side.

3) Notice that the two graphs do not intersect.