Transformations of Quadratic Functions

Question

PARACHUTING Two parachutists jump at the same time from two different planes as part of an aerial show. The height h1of the first parachutist in feet after t seconds is modeled by the function h1 = -16t2 + 5000. The height h2 of the second parachutist in feet after t seconds is modeled by the function h2 = -16t2 + 4000.

 

a. What is the parent function of the two functions given? 

b. Describe the transformations needed to obtain the graph of h1 from the parent
function.

 

c. Which parachutist will reach the ground first?

 

 

Answer 1

a) h = at² + b

b) reflected over abscissa, stretch by factor of 16, raised 5000

c) h₁ had farther to do go.