Lesson 28 Non-Linear Functions

If I throw a marker to you, what path does it take? Can you catch it? How does your brain calculate when and where the object will be?

Start by drawing a representation of how the marker flies.

Start by introducing two variables.
y = vertical position (height)
x = horizontal position (distance)

y = ax2 + bx + c - this is a non-linear function with a dependent variable and an independent variable

When you throw objects, there is an initial position and an initial velocity.

For example
y = -2x2 + 10x

x y = -2x2 + 10x.
0 0
1 8
2 12
3 12
4 8
5 0

And plot the results. This is a trajectory of the object.

Looking at the graph, can you estimate when the marker will reach its highest point?

How can you compute that?