SOLUTION: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-24 . If there is more than one x-intercept, separate them with commas.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-24 . If there is more than one x-intercept, separate them with commas.      Log On


   

Question 456819: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-24
. If there is more than one x-intercept, separate them with commas.
Answer by spacesurfer(12) About Me  (Show Source):
You can put this solution on YOUR website!
This is a simple quadratic equation to find the x-intercepts:
x=%28-2%2B-sqrt%284%2B4%2A24%29%29%2F%282%29
The solutions are x = 4 or -6 and these are the x-intercepts.
The vertex can be found by finding the derivative and setting it equal to 0
If f%28x%29+=+x%5E2%2B2x-24, then f%27%28x%29+=+2x%2B2, and f%27%28x%29+=+0+=+2x%2B2, then x = -1 and f(-1) = -25.
Hence, the vertex is (-1, -25)