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Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.

 Jun 27, 2024
 #1
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First, let's combine all like terms and see what we get. We find that

\(y=-5x^{2}-6x+10\)

 

Now, the x value of the vertex can be written in the equation \(-b/2a\) for quadratics in the form \(ax^2+bx+c\)

 

Thus, we have

\(x=-(-6)/2(-5) = -3/5\)

 

Plugging this in to find the y value, we get

\(y=11.8\)

 

Thus, the vertex is at \((-0.6, 11.8)\)

 

So our answer is \((-0.6, 11.8)\)

 

Thanks! :)

 Jun 28, 2024

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