Question

A Labrador leaps over a hurdle. The function f(t) represents the height of the Labrador above the ground, in inches, at t seconds:
f(t) = -16t^2 + 20t

A foxhound jumps over the same hurdle. The table shows the height of the foxhound above the ground g(t), in inches, at t seconds:

Time (t) g(t)
0 0
0.4 7.04
0.6 8.64
0.75 9
1.0 8
1.5 0

Answer 1

Part A: Compare and interpret the maximum of f(t) and g(t)?

Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent?

Part C: Determine the y-intercepts of both functions, and explain what this means in the context of the problem.

Answer 2

The Maximum of for the foxhound is easy to find, but how would you find the maximum by looking at the equation for the labrador?

It was something like -b/2a to find the x value, and then that x value inserted in the function to find the y value, correct?

@zepdrix @mathmale @mathstudent55 @triciaal @pooja195 @ParthKohli @ganeshie8

Answer 3

yup

Answer 4

@Loser66 What is b and what is a in this equation?

Answer 5

And how would I find what b and a is in the future?