## anonymous one year ago will fan and Medal!

1. anonymous

An 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) = -16t2 + 26t 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 5.44 0.6 6.24 0.7 6.16 0.8 5.76 1.0 4 1.2 0 Part A: Compare and interpret the maximum of f(t) and g(t)? (4 points) Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent? (4 points) Part C: Determine the y-intercepts of both functions and explain what this means in the context of the problem. (2 points)

2. anonymous

think you will agree that the "maximum" of $$f(t)$$ is $$6.24$$ right?

3. anonymous

$f(t) = -16t^2 + 26t$ maximum is where $$t=-\frac{26}{2\times(-16)}=\frac{13}{16}$$ we gotta plug that in

4. anonymous

oh no i made a mistake the maximum of $$g$$ is $$6.24$$ not of $$f$$ the maximum of $$f$$ is $$\frac{169}{16}=10.5625$$ so $$f$$ gets bigger than $$g$$

5. anonymous

6. anonymous

y-intercept is when x = 0

7. anonymous

|dw:1432906504792:dw|

8. anonymous

so what would be part a, b and c?

9. anonymous

lol you catching all dis

10. anonymous

sort of

11. anonymous

Part a) the max of g(t) occurs when t=0.6 seconds, for f(t) since the parabola is concave down due to the negative sign then we know that there is a max on the parabola, the max for f(t) occurs at (13/16,169/16) 169/6=10.5625inches at time 0.8125seconds Part b) f(t) has greater x intercepts, meaning that when the labrador will land later than the fox when it jumps over the hurdle lol

12. anonymous

hello ?

13. anonymous

you get all that ?

14. anonymous

yes

15. anonymous

k so you good now ?

16. anonymous

im not so good at this stuff at explaining it and all but doing it i am =)

17. anonymous

so how would I solve part c?

18. anonymous

so plz dont ask for me to explain how im going to get the 1st 2 parts of the question =)

19. anonymous

for part c draw out the graph when the dog jumps hes at x=0 y = 0 <--- y intercept

20. anonymous

I have to give a written response.

21. anonymous

@jakashaka123

22. anonymous

@triciaal

23. anonymous

I only need part c