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  1. Re: Exponential Growth (WORD PROBLEM: bacterial growth)

    You enjoy being vague don't you...

    What starting points do I use for the transformation then?

    Do I have the function right?
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    Re: Method of Transformations - Trig - Sin

    This is what I have thus far ...?...
  3. Re: Exponential Growth (WORD PROBLEM: bacterial growth)

    I'm lost....... HELP!

    Using the method of transformations I got the following equation:

    p(t) = 2^t
    p(t) = 100 x 2^t
    p(2) = 100 x 2^2t

    100 being the Distortion on Y
    2 being the Base
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    Re: Method of Transformations - Trig - Sin

    So I leave the (8?/3) alone then?
    And set the graph to points of ?/3, 2?/3, 3?/3, 4?/3, 5?/3, etc...
    How does the (t) effect the (8?/3) ?
    Usually there is an addition or subtraction that effect...
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    Method of Transformations - Trig - Sin

    Using the method of transformations, I have to graph the following function p(t), and label the amplitude & period.

    p(t) = 25 sin [ (8?/3) t ] + 115

    I'm assuming I use p(t) = A sin (?t + ?) + d...
  6. Re: Exponential Growth (WORD PROBLEM)

    So I got some points on the graph starting at the 0 for time and 100 for infection.
    (0,100) (0.5,200) (1,400) (1.5,800)
    Because the infection doubles every half an hour

    How am I to use the...
  7. Exponential Growth (WORD PROBLEM: bacterial growth)

    E.coli is a bacterium that reproduces by dividing. Each bacterium splits into two parts every half hour.
    This is an example of exponential growth and can be modeled as follows:

    Assuming that none...
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    Trigonometric Functions (WORD PROBLEM)

    Consider the rhythm of your heartbeat. A personís blood pressure is a measure of the pressure exerted on the walls of the arteries by the blood as it is propelled by the rhythmic contractions of the...
  9. Re: Applications of Polynomial Functions (Word Problem)

    GOOD! DONE! Huge thanks to everyone that helped - I have studying to do, I'm pretty sure they won't give me 11 hours on the exam ... lol
    :D
  10. Re: Applications of Polynomial Functions (Word Problem)

    This is where I am at
  11. Re: Applications of Polynomial Functions (Word Problem)

    My final equation has to be in the format: a(x-h)^2 + k

    I was told the final equation would be y = - (x/4)^2 + 4 which would mean a = 1/4 yes?

    Is there a way I can check my work, assuming the...
  12. Re: Applications of Polynomial Functions (Word Problem)

    This is what I have come up with
    I'm feeling slightly less crazy
    Am I on the right track?
    I thought "a" would = -1/4 .... not -1/12

    I really appreciate everyone's help - this site is a godsent!...
  13. Re: Applications of Polynomial Functions (Word Problem)

    OMG - I don't understand why I can't get this - I am wasting hours and getting no where

    How do you figure out what anything is with 4 = a(4-0)^2 + k ?

    How do I find a ?

    I understand the...
  14. Re: Applications of Polynomial Functions (Word Problem)

    How do you get that you want to make y = 4 and x = 4 ?
    Does k = 32 ?
  15. Applications of Polynomial Functions (Word Problem)

    A wildlife corridor must be designed to arch over a major highway. The arch over the highway is to be constructed in the shape of a parabola. The highway is 8m wide and will be centered under the...
  16. Re: Applications of Polynomial Functions (Word Problem)

    That is exactly what my graph looked like - so that's a good sign!

    I tried using transformations to get a function out of it:

    Y = x^2 (-2, 4) ( 0, 0) ( 2, 4)
    Y1 = -1(x^2) ...
  17. Applications of Polynomial Functions (Word Problem)

    We have just started this chapter, and I was grouped with 2 others that didn't want to work 'together', so the questions were divided up ... this is mine ... I have attempted it, and done the initial...
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