+467 Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.
+1786 First, let's combine all like terms on the right side of the equation.
We get the formula
\(y=-5x^{2}-6x+10\)
Now, it's important to note that the x coordinate of the vertex can be written in the form
\(\frac{-b}{2a}\) for parabolas in the form of \(y=ax^2+bx+c\)
Thus plugging in -5 and -6, we get
\(x=6/-10 = -3/5=-0.6\)
Plugging this back into the equation, we fins that \(y=11.8\)
Thus the vertex is at \((-0.6, 11.8)\)
So our answer is \((-0.6, 11.8)\)
Thanks! :)
