9. Coyote was chasing Road Runner. Seeing no easy escape, Road Runner jumped off a cliff
towering above the roaring river below. Molly Mathematician was observing the chase and
obtained a digital picture of this fall. Using her mathematical knowledge, Molly modeled the
height in feet of Road Runner's fall with these quadratic functions, where t is time in seconds:
f(t)=-16t2 + 32t+48
g(t)=-16(t+1)(t-3)
a) Demonstrate that these two equations are equivalent:
glt)=-14 (t+)+
+2-34
b) Write a third equivalent equation (name it h(t))in vertex form (Hint: Use completing the
square):
h(t) =