Find the vertex of the graph y equal x to the power of 2 plus 6 x minus 5

Hello!

To find the vertex of a quadratic equation, use the formula x = - b/2a, and substitute that x-value into the original equation and solve for y. Also, for quadratics, the standard form for a quadratic is y = Ax² + Bx + C

Given equation: y = x² + 6x - 5

1. Use the formula: x = - b/2a

x = - 6/2 (1)

x = - 6/2

x = - 3

2. Substitute x = - 3 into the given equation and solve for y

y = (-3) ² + 6 (-3) - 5

y = 9 + - 18 - 5

y = - 9 - 5

y = - 14

Therefore, the vertex of the quadratic equation, y = x² + 6x - 5, is (-3, - 14).