The vertex of the parabola is (-3,5) and it is the minimum point of the graph. If the graph

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

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