SOLUTION: write an equation for the parabola with the given vertex that passes through the given point. vertex: (-4,3) point:(-3,6)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: write an equation for the parabola with the given vertex that passes through the given point. vertex: (-4,3) point:(-3,6)       Log On


   

Question 751628: write an equation for the parabola with the given vertex that passes through the given point. vertex: (-4,3) point:(-3,6)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
The standard form of the equation of a parabola is

%0D%0Ay=a%28x-h%29%5E2%2Bk%0D%0A

so we can write


%0D%0Ay=a%28x%2B4%29%5E2%2B3%0D%0A


and using(-3,6)
tells us


%0D%0A6=a%281%29%5E2%2B3%0D%0A
so we know a=3

%0D%0Ay=3%28x%2B4%29%5E2%2B3%0D%0A



:)