+17 For the graph of a certain quadratic y = ax^2 + bx + c, the vertex of the parabola is (3,7) and one of the x-intercepts is (-2,0). What is the x-coordinate of the other x-intercept?
+36916 Parabolas are symmetric.....the other zero will be the sam distance from the vertex as the one given...
from -2 to 3 is five units.....the other zero should be at 8,0
+2862 Reflect the x intercept over the line of symmetry in the quadratic.
The vertex is (3,7), so the line of symmetry must be x = 3
We reflect that, so 3-(-2) = 5
3 + 5 = 8
So the x coordinate of the other x intercept is (8, 0)
