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Question 631604: Write an equation for a parabola with vertex (1,7) given the parabola opens upward and a=3...show all work
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Write an equation for a parabola with vertex (1,7) given the parabola opens upward and a=3...show all work
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Vertex form of a parabola is:
y = a(x-h)^2 + k
where (h,k) is the vertex
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Plug in given information:
y = 3(x-1)^2 + 7 (parabola in vertex form)
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Or, you can convert to "standard form"
y = 3(x-1)^2 + 7
y = 3(x-1)(x-1) + 7
y = 3(x^2-2x+1) + 7
y = 3x^2-6x+3 + 7
y = 3x^2-6x+10 (parabola in standard form)
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