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What is the y coordinate of the vertex of the parabola that is given y equals negative 2 point 5 parenthese x minus 4 parenthese end squared minus 5?
Wiki User
∙ 11y ago
y = -5
By using calculus, the derivative of y = -2.5(x-4)2 - 5 is y' = -5(x-4).
Solving the equation -5(x-4) = 0 gives x = 4 (since the slope of the parabola at the vertex is zero). Plug this back into the equation: y = -2.5(4 - 4) -5 = -5, so the y-coordinate is -5.
The equation of the parabola is given in the vertex form y = a(x - h)2 + k, where (h, k) is the vertex. So the vertex is (4, -5).
Wiki User
∙ 11y ago
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Left
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