SOLUTION: use the formula y=a(x+p)2+q to determine the equation of the graph.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: use the formula y=a(x+p)2+q to determine the equation of the graph.      Log On


   

Question 1071553: use the formula y=a(x+p)2+q to determine the equation of the graph.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=a(x+p)2+q
Is that all you have?

y=a%28x%2Bp%292%2Bq

y=a%28x-%28-p%29%29%5E2%2Bq

If a is positive, the vertex is a minimum point.
If a is negative, the vertex is a maximum point.
The vertex is (-p,q).

The x-axis intercepts, if the graph actually has any, would be found using a%28x%2Bp%29%5E2%2Bq=0
a%28x%2Bp%29%5E2=-q
%28x%2Bp%29%5E2=-q%2Fa
x%2Bp=0%2B-+sqrt%28-q%2Fa%29
x=-p%2B-+sqrt%28-q%2Fa%29------the zeros or roots

If you had the graph and wanted the equation, you would need to be able to read the vertex point, any zeros, and maybe any other point or other intercept and use them to fit the equation. Your question did not show a graph.