anonymous
  • 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)
Algebra
jamiebookeater
  • jamiebookeater
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anonymous
  • 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
  • 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
  • anonymous
I dont know, this part is confusing me!

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Vocaloid
  • Vocaloid
t = 0 f(t) = -16t^2 + 26t = ?
anonymous
  • anonymous
f(t)=-16^2=26t?
Vocaloid
  • Vocaloid
replace "t" with "0" and find f(t)
Vocaloid
  • Vocaloid
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anonymous
  • anonymous
I dont understand, im having a moment
Vocaloid
  • Vocaloid
let's break it down step by step t = 0 -16t^2 = __ fill in the blank
anonymous
  • anonymous
0? OR
Vocaloid
  • Vocaloid
good, -16t^2 = 0
Vocaloid
  • Vocaloid
next step: t = 0 26t = ?
anonymous
  • anonymous
0?
Vocaloid
  • Vocaloid
good. so f(t) = 0 when t = 0 that means the y-intercept of f(t) is 0
Vocaloid
  • Vocaloid
now, are you ready to find the y-intercept of g(t)?
anonymous
  • anonymous
I think i get lost when you said f(t)= 0 when t = 0?
Vocaloid
  • 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
  • anonymous
so we replace the ts with zeros?
Vocaloid
  • Vocaloid
yes
Vocaloid
  • Vocaloid
so, when t = 0 f(t) = -16t^2 + 26t = -16(0^2) + 26(0) = 0, is that clear?
anonymous
  • anonymous
so f(t)-16(0)^2+26(0)?
Vocaloid
  • Vocaloid
right, and we calculate that out f(t)=16(0)^2+26(0) = 0
Vocaloid
  • Vocaloid
so our y-intercept is 0, is that clear?
anonymous
  • anonymous
I dont understand
anonymous
  • anonymous
how do we find the y intercept
Vocaloid
  • Vocaloid
we just found the y-intercept...
Vocaloid
  • Vocaloid
to find the y-intercept, we set t = 0 and find f(t)
anonymous
  • anonymous
so i dont understand
anonymous
  • anonymous
the y intercept is out equation?
Vocaloid
  • Vocaloid
the y-intercept is a number, and to find that number, we find f(t) when t = 0
Vocaloid
  • Vocaloid
|dw:1443657403687:dw|
Vocaloid
  • Vocaloid
is that clear?
Vocaloid
  • Vocaloid
y-intercept = 0
anonymous
  • anonymous
so its just zero?
anonymous
  • anonymous
Vocaloid
  • Vocaloid
yes
anonymous
  • anonymous
Oh, hah. thank you so much! :)
Vocaloid
  • Vocaloid
alright, but we're not done yet, now we need to find the intercept of g(t)
Vocaloid
  • Vocaloid
read the table, and tell me what g(t) equals when t = 0
anonymous
  • anonymous
oh goodness im not at this... uh 0 and 1.2?
anonymous
  • anonymous
im not good at this*
Vocaloid
  • Vocaloid
|dw:1443658018405:dw|
anonymous
  • anonymous
i dont know
Vocaloid
  • Vocaloid
look at the table again look at the row where t = 0 what number is on the right hand side?
anonymous
  • anonymous
0
Vocaloid
  • Vocaloid
good, so the y-intercept of g(t) is 0
anonymous
  • anonymous
okay.
anonymous
  • anonymous
anything else?
Vocaloid
  • 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
  • Vocaloid
that should be it for the problem
anonymous
  • anonymous
Thank you!!

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