If Lylah completes the square for f(x) = x 2 + 24x -18 in order to find the minimum, she must write f(x) in the general form f(x
) = (x − a)^2+ b. What is the value of b for f(x)? Explain (tell me word for word how you arrived at the answer above, include screenshots if necessary) how you found the solutions in detail.
Since we know the ratio is going to stay constant at , we can use this to find the height of the lamp along with the information that the total distance from the lamp to the tip of his shadow is 20: