SOLUTION: Write an equation for the quadratic function whose graph contains the given vertex and point. Vertex (5, 5), point (7, 17)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write an equation for the quadratic function whose graph contains the given vertex and point. Vertex (5, 5), point (7, 17)       Log On


   

Question 372863: Write an equation for the quadratic function whose graph contains the given vertex and point.
Vertex (5, 5), point (7, 17)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+a%28x-h%29%5E2+%2B+k,
y+=+a%28x-5%29%5E2+%2B+5, after using the coordinates of the vertex.
Use the coordinates of the given point to find the coefficient a:
17+=+a%287-5%29%5E2+%2B+5,
12+=+a%2A2%5E2,
4a = 12, or a = 3. Thus the quadratic function is y+=+3%28x-5%29%5E2+%2B+5.