SOLUTION: What is the solution for the quadratic equation depicted in the graph? I linked the image. https://i.imgur.com/QgAV6kb.gif I just can't get these through my head, no matter w

Question 1164935: What is the solution for the quadratic equation depicted in the graph? I linked the image.
https://i.imgur.com/QgAV6kb.gif
I just can't get these through my head, no matter what I do!

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

In factored form, a quadratic equation is of the form

If x is equal to either p or q, then the value of y is zero, because one of the factors (x-p) or (x-q) is zero.

The values p and q -- that make the y value zero -- are called the roots of the equation.

In a graph, that means the graph crosses the x-axis at x=p and at x=q.

In this example, the graph crosses the x-axis at x=-3 and at x=-4. So the quadratic equation is of the form

What is left to do is to determine the value of the coefficient a.

To do that, use any point on the graph other than an x-intercept.

In this example, it looks as if y=2 when x=-2. So plug those coordinates into the formula and solve for a.

So the equation for the graph is

or just

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