SOLUTION: Use the vertex (-3, -1)and a point on the graph (-5, 3) to find the general form of the equation of the quadratic function. f(x)=?

Algebra ->  Functions -> SOLUTION: Use the vertex (-3, -1)and a point on the graph (-5, 3) to find the general form of the equation of the quadratic function. f(x)=?      Log On


   

Question 1051140: Use the vertex (-3, -1)and a point on the graph (-5, 3) to find the general form of the equation of the quadratic function. f(x)=?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Start from standard form.

f%28x%29=a%28x-h%29%5E2%2Bk has vertex (h,k).

f%28x%29=a%28x%2B3%29%5E2-1, filling for your given vertex.

a%28x%2B3%29%5E2=f%28x%29%2B1
a=%28f%28x%29%2B1%29%2F%28x%2B3%29%5E2
a=%283%2B1%29%2F%28-5%2B3%29%5E2, filling for the other given point.