+136 Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.
+953 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! :)
