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)

- anonymous

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- anonymous

Part C: Determine the y-intercepts of both functions and explain what this means in the context of the problem.
Ionly need help with part C

- Vocaloid

ok, it's asking for the y-intercepts, so we set t = 0 and find f(t) and g(t)
when t = 0, what does f(t) = ?

- anonymous

I dont know, this part is confusing me!

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## More answers

- Vocaloid

t = 0
f(t) = -16t^2 + 26t = ?

- anonymous

f(t)=-16^2=26t?

- Vocaloid

replace "t" with "0" and find f(t)

- Vocaloid

|dw:1443656752009:dw|

- anonymous

I dont understand, im having a moment

- Vocaloid

let's break it down step by step
t = 0
-16t^2 = __
fill in the blank

- anonymous

0? OR

- Vocaloid

good, -16t^2 = 0

- Vocaloid

next step:
t = 0
26t = ?

- anonymous

0?

- Vocaloid

good.
so f(t) = 0 when t = 0
that means the y-intercept of f(t) is 0

- Vocaloid

now, are you ready to find the y-intercept of g(t)?

- anonymous

I think i get lost when you said f(t)= 0 when t = 0?

- Vocaloid

ok, we are given the function
f(t) = -16t2 + 26t
to find the y-intercept, we must find the value of f(t) when t = 0, is that clear?

- anonymous

so we replace the ts with zeros?

- Vocaloid

yes

- Vocaloid

so, when t = 0
f(t) = -16t^2 + 26t = -16(0^2) + 26(0) = 0, is that clear?

- anonymous

so f(t)-16(0)^2+26(0)?

- Vocaloid

right, and we calculate that out
f(t)=16(0)^2+26(0) = 0

- Vocaloid

so our y-intercept is 0, is that clear?

- anonymous

I dont understand

- anonymous

how do we find the y intercept

- Vocaloid

we just found the y-intercept...

- Vocaloid

to find the y-intercept, we set t = 0 and find f(t)

- anonymous

so i dont understand

- anonymous

the y intercept is out equation?

- Vocaloid

the y-intercept is a number, and to find that number, we find f(t) when t = 0

- Vocaloid

|dw:1443657403687:dw|

- Vocaloid

is that clear?

- Vocaloid

y-intercept = 0

- anonymous

so its just zero?

- anonymous

@vocaloid

- Vocaloid

yes

- anonymous

Oh, hah. thank you so much! :)

- Vocaloid

alright, but we're not done yet, now we need to find the intercept of g(t)

- Vocaloid

read the table, and tell me what g(t) equals when t = 0

- anonymous

oh goodness im not at this... uh 0 and 1.2?

- anonymous

im not good at this*

- Vocaloid

|dw:1443658018405:dw|

- anonymous

i dont know

- Vocaloid

look at the table again
look at the row where t = 0
what number is on the right hand side?

- anonymous

0

- Vocaloid

good, so the y-intercept of g(t) is 0

- anonymous

okay.

- anonymous

anything else?

- Vocaloid

ok, it also asks you to explain what the y-intercepts mean in the context of the problem
we know that t represents time, so when t = 0, time = 0 seconds
f(t) represents the height of the labrador, and g(t) represents the height of the foxhound
since both y-intercepts are 0, that means that both dogs start off at a height of 0

- Vocaloid

that should be it for the problem

- anonymous

Thank you!!

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