Question

PLEASE HURRY

The height of the new bike tunnel, y, in feet, is given by the following equation, where x is the horizontal distance, in feet, from the center line of the opening of the tunnel.
y=-x^(2)+36
Note that negative x-values indicate the distance to the left of the center line, and positive x-values indicate the distance to the right of the center line.

Plot the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is zero feet.

Answer 1

The height of the tunnel is a maximum at the vertex of the parabola, which occurs at x = 0. The height of the tunnel is zero feet when y = 0, which occurs at x = ±6.

Therefore, the points on the graph where the height of the tunnel is a maximum is (0, 36), and the points on the graph where the height of the tunnel is zero feet are (-6, 0) and (6, 0).