SOLUTION: What type of graph do you get when you multiply a linear graph by a linear graph???

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Question 449566: What type of graph do you get when you multiply a linear graph by a linear graph???
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What type of graph do you get when you multiply a linear graph by a linear graph???
:
Try it and see, two linear equations graphed
2x + 3
x - 5
:
+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+2x%2B3%2C+x-5%29+
:
Multiply these two equations
FOIL (2x+3)(x-5) = 2x^2 - 10x + 3x - 15 = 2x^2 - 7x - 15
:
Graph this equation on the same system
+graph%28+300%2C+200%2C+-6%2C+10%2C+-20%2C+10%2C+2x%2B3%2C+x-5%2C+2x%5E2-7x-15%29+
:
You can see it is a parabola and the parabola's x intercepts are the same as the linear equation intercepts