Question

H E L P

The function y = −0.03x(x− 10) models the jump of a rabbit where x is the horizontal distance (in feet). How long is the rabbit’s jump? what is the rabbits max height?
show step plz

Answer 1

x (distance) = 10, max height = .75

Explanation:

y=-.03x(x-10)

The distance are the x intercepts: 0 and 10, where 0 is time started and 10 is time ended.

Expand the equation:

y=-.03x^2 +.3x

To find max height you find the vertex

x = -b/2a

x = -.3/-.06 = 5

Plug the x into the equation

y=.-03(5)^2 +.3(5)

y=.75