Question

Find the vertex of the following function: F(X) = X² + 2X + 2

a) (-1, 1)
b) (1, 1)
c) (-1, -1)
d) (1, -1)

Answer 1

The vertex of the function f(x) = x^2 + 2x + 2 is (-1, 1).

Step-by-step explanation:

To find the vertex of the function f(x) = x^2 + 2x + 2, we need to use the formula:

x = -b/2a

In this case, a = 1, b = 2, and c = 2. Substituting these values into the formula, we get:

x = -2/(2*1) = -1

Therefore, the vertex of the function is (-1, 1), so the correct answer is option a) (-1, 1).