SOLUTION: Find an equation of the form y-k = a(x-h)[squared] for the parabola that has vertex (1, -5) and contains (-4, 3).

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find an equation of the form y-k = a(x-h)[squared] for the parabola that has vertex (1, -5) and contains (-4, 3).      Log On


   

Question 324822: Find an equation of the form y-k = a(x-h)[squared] for the parabola that has vertex (1, -5) and contains (-4, 3).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y-k=a%28x-h%29%5E2
Plug the vertex in for (h,k)
y-%28-5%29=a%28x-1%29%5E2
y%2B5=a%28x-1%29%5E2
Now use the point (-4,3) to solve for a.
3%2B5=a%28-4-1%29%5E2
8=a%28-5%29%5E2
a=8%2F25
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highlight%28y%2B5=%288%2F25%29%28x-1%29%5E2%29