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).