I think that the ball is going to go in the hoop because the line of the parabola goes right through the center of the basketball hoop.
To create this function I put in three different functions. The first function I plugged in was y=-2x+2 < 0 to get the line coming down to 2. The second function I plugged in was y=square root of 4x-x squared {0<x<2} to get the quarter circle. The last function I used was y=(x-2) squared {x>2}. The last function that was used created the right half of a parabola.
Now that I know more about functions I made a piece that looks a lot better than the first one. I used many cosine functions and some tangent functions. It is so much more easier to make one of these when you know what functions make what. I used some sine functions but not very many. For this activity we found the inverse as a class. To get the inverse of y=x^2 you switch the y and x then take the square root of them. Then you should get plus or minus the square root of x equals y. When folding the paper on the dotted line that was made, the function and its inverse matched up. It is possible for a function to have an inverse that is also a function, an example of this would be y=x.
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