SOLUTION: The graph is a parabola with vertex (3,-8) and passing through the origin. Write the quadratic equation of this graph.

Algebra ->  Graphs -> SOLUTION: The graph is a parabola with vertex (3,-8) and passing through the origin. Write the quadratic equation of this graph.       Log On


   

Question 781633: The graph is a parabola with vertex (3,-8) and passing through the origin. Write the quadratic equation of this graph.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
We use the Standard Form:
%0D%0Ay=a%2A%28x-h%29%5E2%2Bk%0D%0A
from the vertex we get:
%0D%0Ay=a%2A%28x-3%29%5E2-8%0D%0A
since the origin is on the graph,
%0D%0A0=a%2A%280-3%29%5E2-8%0D%0A

9a=8
a=9%2F8

so we can write
%0D%0Ay=%289%2F8%29%2A%28x-3%29%5E2-8%0D%0A