Final answer:
The vertex of the graph is at (-4, -3) and the y-intercept is at (0, -11).
Step-by-step explanation:
The given equation is f(x) = -2|x+4|-3. To identify the vertex, we need to rewrite the equation in vertex form, which is f(x) = a|x-h|^2 + k. Comparing this form with the given equation, we can see that a = -2 and h = -4. The vertex of the graph is therefore (-4, -3).
To find the y-intercept, we can set x = 0 in the equation and solve for f(x). Plugging in x = 0, we get f(0) = -2|0+4|-3 = -2(4) -3 = -8 - 3 = -11. So, the y-intercept is (0, -11).