Write the equation of the parabola in the form y=a(x-h)^2 + k that has a vertex of (3,12) and contains the point (7,15)

Answer 1

Given the vertex is located at (3,12), the parabola equation is y=a(x-3)²+12. substituting the given point (7,15) yields 15=a(7-3)²+123. Solving for a yields a= 3/16 and the complete equation is y=3/16(x-3)²+12.