Flag. Slider. Compare. Comment. NOTE: A parabola can stretch on to infinity in the vertical direction, but only one way. They also come in different shapes. There could be a length of parabola that, when multiple are joined together, it is very nearly the same as a sine wave. If you find something like this, tell me in the comments!
One time, as I was doing my algebra homework, I looked down at the graph of a quadratic function that I had made. For those of you who don't know what that is, it's the shape that something makes as it flies into the air. This is also called a parabola. There are some pretty neat things about paraboli that I won't explain here. Then I looked over at my brother doing his trigonometry homework. He had graphed a sine wave. (or something like that. Sine wave, cosine wave, secant wave, whatever. Same thing.) A sine wave is a wave that is extremely common in nature. It involves taking the y coordinate (how high something is on a graph) of a circle and plotting it. I won't go into detail here, but it is the same shape as sound waves and other waves. So I thought to myself, "What if you were to join paraboli together to make a similar shape as a sine wave? Would it be the same shape completely?" So, this project was made to find the answer.
