What is the vertex of the graph y = x^2 + 6x - 5?

Given: y = x^2 + 6x - 5. Then a = 1, b = 6 and c = - 5.

The x-coord. of the vertex is given by x = - b / (2a), which here is x = - 6 / (2*1) = - 3.

Use the given formula y = x^2 + 6x - 5 to find the value of y when x = - 3:

y = (-3) ^2 + 6 (-3) - 5 = 9 - 18 - 5 = - 14

Then the vertex is (-3, - 14).