SOLUTION: Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of -5

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of -5      Log On


   

Question 657773: Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of -5
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find a formula for the quadratic function whose graph has vertex(2,-2) and y-intercept of -5
**
standard form of equation for a parabola:+y=A%28x-h%29%5E2%2Bk, (h,k)=(x,y) coordinates of the vertex
For given parabola:
y=A%28x-2%29%5E2-2
solve for A using coordinates of y-intercept (0,-5)
-5=A(0-2)^2-2
-5=4A-2
4A=-3
A=-3/4
equation of given quadratic function:
y=%28-3%2F4%29%28x-2%29%5E2-2