# What is the the vertex of y = -x^2-6x -2?

Vertex is $\left(- 3 , 7\right)$
Comparing the above equation with the general equation of parabola $y = a \cdot {x}^{2} + b \cdot x + c$ Here a= -1 ; b = -6 ; c= -2
We know the Vertex(x-ordintae) $= - \frac{b}{2} \cdot a \mathmr{and} \frac{6}{2} \cdot - 1 = - 3$
$\therefore y = - {\left(- 3\right)}^{2} - 6 \cdot \left(- 3\right) - 2 = - 9 + 18 - 2 = 7$ So Vertex is $\left(- 3 , 7\right)$ [Ans] graph{-(x^2)-6x-2 [-20, 20, -10, 10]}