SOLUTION: I'm having trouble finding the answer Find the equation of the quadratic function with the given vertex V (-3, 6.5) and passes through P (2,6)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I'm having trouble finding the answer Find the equation of the quadratic function with the given vertex V (-3, 6.5) and passes through P (2,6)      Log On


   

Question 1085280: I'm having trouble finding the answer

Find the equation of the quadratic function with the given vertex V (-3, 6.5) and passes through P (2,6)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
use vertex form of equation:
y=+a%28x-h%29%5E2%2Bk where h and k are x and y coordinates of the vertex,
if given vertex V (-3, 6.5) we have
y=+a%28x-%28-3%29%29%5E2%2B6.5
y=a%28x%2B3%29%5E2%2B6.5
and if passes through P (2,6), use it to find leading coefficient a
6=a%282%2B3%29%5E2%2B6.5
6=a%285%29%5E2%2B6.5
6-6.5=25a
-0.5=25a
-0.5%2F25=a
-0.02=a
so, your equation is: y=+-0.02%28x%2B3%29%5E2%2B6.5