Math

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point.

Vertex: (-2, 5)
Point: (0, 9)

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  1. Standard quadratic function with given vertex (h,k) is given by:
    y=a(x-h)²+k
    where a can be found by substituting the values of any given point on the curve.
    Here, h=-2, k=5, so
    y=a(x+2)²+5
    Now substitute x=0, y=9 and solve for a.

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