Final answer:
To find the values of h and k in the given equation y^2 = (x+4)^2-5, we can match it with the standard equation for a parabola, (x-h)^2 = 4a(y-k), and find that h = -4 and k = -5.
Step-by-step explanation:
To find the values of h and k in the equation y^2 = (x+4)^2-5, we need to match the given equation with the standard equation for a parabola, which is (x-h)^2 = 4a(y-k). Comparing the equations, we can see that h = -4 and k = -5.