Question 449566
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( 300, 200, -6, 10, -10, 10, 2x+3, x-5) }}}
:
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( 300, 200, -6, 10, -20, 10, 2x+3, x-5, 2x^2-7x-15) }}}
:
You can see it is a parabola  and the parabola's x intercepts are the same as the linear equation intercepts