Question

Plot the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is 0 feet note that negative X values indicate the distance to the left of the centerline and positive X values indicate a distance to the right of the center line. function: y= -x^2+36

Answer 1

Given the function:

`y=-x^2+36`

The graph of the function is shown in the following picture:

As shown in the figure:

The height will be maximum at x = 0

The maximum height = 36 feet

And the height of the tunnel is 0 when x = 6

Which represent the x-intercept of the function