this week in math we learned how to determine the points of intersection with a linear and quadratic system
the two systems that are going to be used are
and
First, you have to graph the quadratic which should not be that difficult since it is already in vertex form
the next step is to graph the linear system which involves a few more steps
first you must rearrange the system so that the Y is isolated and positive. After you rearrange the linear function it should look like this
from this, you can determine that the y-intercept is 3 and that it has a positive slope of 3. you now should have all the information to graph it.
from this point, you simply follow the course of both functions to find where they intersect with one another
in this case the there were two points that intersected, they were (1,6) and (-2.5,-4.5)