The document summarizes five exhibits chosen to represent different mathematical functions: 1) A negative parabolic arch represented by the equation F(x)=a(x^2)-b. 2) A positive parabolic upward arch represented by the equation y=0.03x^2. 3) A ripple pattern represented by a sinusoidal function g(x)=a(sin)[b(x+c)]. 4) A straight line represented by the linear equation y=mx+b. 5) A V-shape represented by an absolute value equation f(x)=|ax|.

1. Algebra II/Trigonometry Final Project 2010 By Taylor K. and Daniel

2. EXHIBIT ONE The Dillard's Parabolic Arch!

3. Parabolic Equation! We chose this function because it accurately represents a negative parabola, exhibiting the negative arch that is typically associated with a parabolic equation F(x)=a(x^2)=b Y=-0.07x^2+4.96

4. Exhibit 2 I-25 Parabola the 2nd

5. We again chose a parabolic equation because it reflects a positive upward arch when reflected on the y axis, although without this reflection it would work as a perfectly functional exponential function. Another Parabolic Function! y=a(x^2) y=0.03x^2

6. Exhibit 3 Grampa's Jumprope

7. We chose a sinusoidal function here because it accurately reflects the ripple pattern associated with said function SSSSSinusoidal Function! g(x)=a(sin)[b(x+c)] y=2.1sin[0.79(x+7.41)]

8. Exhibition Four Grampa's Outdoor Ruler

9. We chose a linear function for this photo because, well, it’s a line The Best Type: A Linear Equation! y=mx+b y=0.65x

10. Exhibit Five Umm... It's a V!

11. Absolute value equation We chose this equation because the photo represents a V shape, the same shape created by absolute value equations f(x)=|ax| y=|0.64x|

12. Math is an essential part of life in the modern world. Our buildings are built according to its principles. Secret messages are conveyed through it. We cannot function as human beings without being enlightened by the perfect principles that have contributed to the study of mathematics since the time or Aristotle, the great Greek mathematician. What did we learn by seeing math everywhere?

13. THE END Two consecutive Golden Parabolas