Posted by Peter on Tuesday, September 4, 2012 at 1:37am.
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)

Math  MathMate, Tuesday, September 4, 2012 at 8:32am
Standard quadratic function with given vertex (h,k) is given by:
y=a(xh)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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