Question

Find the vertex of the graph of the function. f(x) = (x + 4)2 - 1

a) (0, -4)
b) ( -1, 0)
c)( -4, -1)
d) ( -1, -4)

Answer 1

The vertex of the graph of the function f(x) = (x + 4)² - 1 is (-2, 3).

Step-by-step explanation:

The given function is a quadratic function in the form f(x) = (x + 4)² - 1. To find the vertex, we need to use the vertex formula, which is given by (-b/2a, f(-b/2a)). In this case, a = 1 and b = 4, so the x-coordinate of the vertex is -b/2a = -4/2(1) = -2. Substituting this value into the function, we get f(-2) = (-2 + 4)² - 1 = 2² - 1 = 4 - 1 = 3. Therefore, the vertex of the graph is (-2, 3).