**Question**: The vertex of the parabola is (-3,5) and it is the minimum point of the graph. If the graph passes through the point (-2,7), what is the equation of the quadratic function?

**Answer**: The vertex form of a quadratic function is f(x) = a(x-h)² + k

h = x- coordinate and k = y-coordinate of the vertex

thus we have y = a(x+3)² + 5

now we need to find a

7 = a(-2 + 3)²

7 = a(1)²

a = 7

thus the equation of the quadratic function f(x) = 7(x + 3)² +5