SOLUTION: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point vertex (5, 12) point (7, 15)

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point vertex (5, 12) point (7, 15)      Log On


   



Question 975090: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point vertex (5, 12) point (7, 15)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y = a(x-h)2+k
y= a(x-5)^2 +12
Find a by using the point
15=a(7-5)^2 +12
15=4a+12
a=(3/4)
y=(3/4)(x-5)^2 +12
y=(3/4)x^2-7.5x+30.75
graph%28300%2C300%2C-10%2C10%2C-10%2C30%2C%283%2F4%29x%5E2-7.5x%2B30.75%29