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# Parabola

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Find the vertex of the graph of the equation y=-2x^2+18x-15.

Aug 22, 2021

#1
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Find the vertex of the graph of the equation y=-2x^2+18x-15.

Hello Guest!

$$y=-2x^2+18x-15.\\ \frac{dy}{dx}=-4x+18=0\\ -4x=-18\\ \color{blue}x=4.5$$

$$y=-2x^2+18x-15\\ y=-2\cdot 4.5^2+18\cdot 4.5-15\\ \color{blue}y=25.5$$

V(4.5, 25.5)

!

Aug 22, 2021