SOLUTION: How would you write the equation of a parabola in vertex from that has the vertex (0,3) and a point (-4,-45)?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How would you write the equation of a parabola in vertex from that has the vertex (0,3) and a point (-4,-45)?      Log On


   

Question 250347: How would you write the equation of a parabola in vertex from that has the vertex (0,3) and a point (-4,-45)?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Parabola have the equation:
Y+=+a%28x-h%29%5E2+%2B+k
where h,k is the vertex. We are given (0,3) as well as (-4, -45). Putting all of this in, we can find a as:
-45+=+a%2A%28-4-0%29%5E2+%2B+3
-45+=+16a+%2B+3
-48+=+16a
a+=+-3
The equation is
Y+=+-3%28x-0%29%5E2+%2B+3
or simply
Y+=+-3x%5E2+%2B+3