SOLUTION: find the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (-3,5); Point: (-6,-1)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: find the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (-3,5); Point: (-6,-1)       Log On


   

Question 883004: find the quadratic function that has the indicated vertex and whose graph passes through the given point.
Vertex: (-3,5); Point: (-6,-1)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A parabola equation in standard form using that vertex would be y=a%28x%2B3%29%5E2%2B5 and solving for a will give a formula to let you find the value for a using the point given on the parabola.

a%28x%2B3%29%5E2=y-5
a=%28y-5%29%2F%28x%2B3%29%5E2
a=%28-1-5%29%2F%28-6%2B3%29%5E2, substituting the point (-6,-1)
a=-6%2F%28-3%29%5E2
a=-6%2F9
a=-2%2F3

The equation (or function) can be highlight%28y=-%282%2F3%29%28x%2B3%29%5E2%2B5%29.