To find the vertex of the quadratic equation
x^2 + 2x − 15, we can use the vertex formula.
The vertex formula for a quadratic equation in the form ax^2 + bx + c is given by:
x = -b/2a
In our case, the equation is x^2 + 2x - 15, so a = 1, b = 2, c = -15
Using the vertex formula, we can calculate the x-coordinate of the vertex:
x = -2/2(1) = -1
To find the y-coordinate of the vertex, we substitute the value of x back into the equation:
y = (-1)^2 + 2(-1) - 15 = 1 - 2 - 15 = -16
Therefore, the vertex of the quadratic equation:
x^2 + 2x - 15 is (-1, -16).