SOLUTION: The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,3) and passes the point (0,1). Find the quadratic function.
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-> SOLUTION: The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,3) and passes the point (0,1). Find the quadratic function.
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Question 354959: The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,3) and passes the point (0,1). Find the quadratic function. Answer by ewatrrr(24785) (Show Source):
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*Note: the vertex form of an equation of a parabola y = a(x - h)^2 + k where (h,k) is the vertex
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vertex at (-2,3)
y = a(x -(-2) + 3
y = a(x + 2) + 3
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Point (0,1) on the parabola
1 = a(0+2) + 3
1 = 2a +3
-2 = 2a
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a = -1 parabola opens downward (vertex is a maximum. Range is (,)
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y = -(x + 2)^2 + 3
