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Math Project

Published on Nov 20, 2015

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PRESENTATION OUTLINE

FINAL PROJECT

BY THOMAS WIMBERLY

PART 1

FINDING AN EQUATION FOR POINTS (2,8) AND (12,26)

THE QUADRATIC

  • Using the points (2,8)(12,26)(-12,-5)
  • I found a quadratic equation to model this senario
  • It is Y=.036X^2+1.29X+5.27

THE EXPONENTIAL

  • To find an exponential equation two points are nesesary
  • I used (2,8) and (12,24)
  • The exponential function that goes through these to points is
  • Y=6.3*1.12^X

LINEAR EQUASION

  • Like an exponential equation a linear requires just 2 points
  • For the points of (2,8) and (12,26) the linear equation is
  • Y=1.8x+4.4

RATIONAL EQUASION

  • When a variable is put in the denominator of a fraction
  • it becomes a rational equasion. A rational equation that goes
  • through points, (2,8) and (12,26) is, Y=(-43.19/X)+29.6

A PROBLEM

  • In February there are 8 hippos on an island, by December
  • there are 26 hippos on the island. There is an unlimited food supply
  • and no predators on the island.
  • The exponential function will model this best as each hippo will help
  • the population grow further, just as exponential equations grow at ever Increasing rates.

THE PROBLEM (CONTINUED)

  • For example if X=20 it would represent
  • August of the next year. At that time there would be
  • 60 hippos on the island, and one that is is 7/10 through
  • her pregnancy.

PART 2

MANIPULATING GRAPHS

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B

  • When a function is multiplied out in
  • Standard form it becomes much harder to shift
  • as there are multiple x and there is no easy way to
  • Directly change one aspect of the x.

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