SOLUTION: What is the equation of a parabola whose's vertex is at at (5,7) and passes though the point (8,-2)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: What is the equation of a parabola whose's vertex is at at (5,7) and passes though the point (8,-2)      Log On


   

Question 350650: What is the equation of a parabola whose's vertex is at at (5,7) and passes though the point (8,-2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
USe the vertex form of a parabola, y=a%28x-h%29%5E2%2Bk
y=a%28x-5%29%5E2%2B7
Now use the point (8,-2) to solve for a.
-2=a%288-5%29%5E2%2B7
a%289%29=-9
a=-1
.
.
.
highlight%28y=-%28x-5%29%5E2%2B7%29
or
y=-%28x%5E2-10x%2B25%29%2B7%29
highlight_green%28y=-x%5E2%2B10x-18%29