SOLUTION: Can you help me with this problem? A parabola has vertex (8,3) and one x-intercept. Determine the coordinates of the other x-intercept.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can you help me with this problem? A parabola has vertex (8,3) and one x-intercept. Determine the coordinates of the other x-intercept.      Log On


   

Question 117315: Can you help me with this problem? A parabola has vertex (8,3) and one x-intercept. Determine the coordinates of the other x-intercept.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The x distance from the vertex to the first x intercept is the same as the distance from the vertex to the second x intercept.
A vertical line through the vertex is a line of symmetry.
For example,
y=%28x-1%29%5E2-1
has a vertex at (1,-1)
The first x intercept is x=0, 1 unit away from the vertex.
The second x intercept is x=2, also 1 unit away from the vertex.
+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+%28x-1%29%5E2-1%29+