SOLUTION: I really need help please on this graphic equation. I need to draw a graph of an equation that contains two x-intercepts, -2 and 3. At the x intercept -2, the graph crosses the x

Algebra ->  Graphs -> SOLUTION: I really need help please on this graphic equation. I need to draw a graph of an equation that contains two x-intercepts, -2 and 3. At the x intercept -2, the graph crosses the x      Log On


   

Question 154609This question is from textbook elementary and intermediate algebra
: I really need help please on this graphic equation. I need to draw a graph of an equation that contains two x-intercepts, -2 and 3. At the x intercept -2, the graph crosses the x-axis; at the x-intercept 3 the graph touches the x-axis. I'm lost!!! There are no ordered pairs so what shall I do? Help me please!!! This question is from textbook elementary and intermediate algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
draw a graph of an equation that contains two x-intercepts, -2 and 3.
:
Write the equation for this; we know x=-2 and x=3
Therefore the factors can be (x+2)(x-3) = 0
FOIL these and you have:
x^2 - 3x + 2x - 6 = 0
x^2 - x - 6 = 0 is the equation
:
Plot y = x^2 - x - 6, for x = -4 to x = +5, it should look like this:
+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+x%5E2-x-6%29+
Note the x intercepts are x=-2 and x=+3