SOLUTION: Find a function whose graph is a parabola with vertex (4,-6) and that passes through the point (5,-3).
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-> SOLUTION: Find a function whose graph is a parabola with vertex (4,-6) and that passes through the point (5,-3).
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Find a function whose graph is a parabola with vertex (4,-6) and that passes through the point (5,-3).
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This function is a quadratic function, and its vetex form is
y = .
The only thing we need is to find the unknown coefficient "a" (the leading term).
For it, we write equation for the given point
-3 = .
Then we have
-3 = a*1^2 - 6
-3 + 6 = a
a = 3.
ANSWER. The function is a quadratic function y = .
