The height of a small rise in a roller coaster track is modeled by f (x) = - 0.07x^2 + 0.42x + 6.37 where x is the distance in feet from a supported pole at ground level. 1. Find the greatest height of the rise.

Answer:6.37

Step-by-step explanation:

f (x) = - 0.07x² + 0.42x + 6.37

1. Find the x-coordinate. x = - (b/2a)

= - (0.42/-0.07) = 6

x=6

2. Find the corresponding y-coordinate.

f (x) = - 0.07x² + 0.42x + 6.37

substitute x with 6

-0.07 (6) ²+0.42 (6) + 6.37

Simplify

-2.52+2.52+6.37=

6.37