For this project, we would throw balls of various sizes and weights from 1 yard in the air and time how long they were in the air. Now we are finding the graph of the ball's path.

The general equation for finding the path of a projectile is . We can fill in parts of this equation to form a quadratic function. Since I threw two balls, I will have two equations. When you fill in the first equation you get h=-16(1.5^2) + Vo(1.5) + 3. The second equation is -16(1.6^2) + Vo(1.6) + 3.

To find Vo, we will use the above equation, and put in 0 for the final height. So 0=-16(1.5^2) + Vo(1.5) + 3 and 0=-16(1.6^2) + Vo(1.6) + 3

V0=21.31 Vo=24.41

We can fill these back into the equation:

h=-16t^2 + 21.3t + 3 and h=-16t^2 +24.4t + 3

To find what time the balls reached their maximum height, we can use the equation

aos=(-b/2a). The axis of symmetry (aos) tells us the time the projectile reaches its maximum

height. So the time the ball reaches its maximum height=(-21.3/-32)=0.7 and (-24.4/-32)=0.8

You can now use the axis of symmetry to find what the y-coordinate, or highest height, is,

by plugging in the aos into the equation as the x(t, in this case)-values. H will equal the maximum

height because the time is at the time the ball was at its maximum height:

h=-16(0.67^2) + 21.31(0.67) + 3=10.1 and h=-16(0.76^2) +24.41(0.76) + 3=12.3

The maximum heights are 10.1 feet and 12.3 feet.

I graphed the sale of cell phones in America from 1984 to 1993. http://hypertextbook.com/facts/2002/BogusiaGrzywac.shtml

The regression equation I found was about y = 14.58x - 30.51

The correlation coefficient is .86

The data I used was on cell phone sales, and those have been increasing exponentially, so the data didn't fit the normal linear scatter plot, but it followed an exponential linear equation. This means that the line of best fit doesn't line up as well with the points as other scatter plots. It is important to be able to interpret graphs because a lot of data in the public is presented this way. Being able to find the line of best fit allows you to summarize all the information and see approximately what trend the data is following.

A function is an equation where when you put in something, you get a different or unique result out of the equation. Functions are used for ciphers, computer coding, and many points in finance (interest, tax, etc.). Because they are used so much in the real word, it is important for us to know how to use functions.

Pick a number	82	X
Add 17	99	X+17
Multiply by 12	1,188	12X+204
Subtract 24	1,164	12X+180
Divide by 2	582	6X+90
Add 162	744	6X+252
Divide by 6	124	X+42
Subtract your original #	42	42