MathMotionGraph Usage

A generator for Cartesian, parametric, and polar graphs, as well as inequality regions.

Basic usage

Follow installation to install MathMotionGraph.
On the Edit page, drag MathMotionGraph from Effects → Generators onto the timeline.
In the Inspector, select Cartesian as the graph type and enter a formula such as y = sin(x) in the formula field.
Set the visible range under View, and adjust the line and region appearance under Boundary / Region.
Adjust the axes and grid under Axes / Grid.
In Fusion, add the node using Shift + Space and connect its output to MediaOut. Use a Merge node to place the graph over footage.

Mode	Input	Use
Cartesian	`y = sin(x)`	Function graph
Cartesian	`x^2 + y^2 <= 4`	Inequality region
Cartesian	`x^2 + y^2 <= 9 AND y >= abs(x)`	Region defined by multiple conditions
Parametric	X: `cos(t)`, Y: `sin(t)`	Parametric curve; also set the t range
Parametric	X: `ssqrt(1-(t^2)/2)`, Y: `tsqrt(1-(s^2)/2)`	Parametric region; also set the s and t ranges
Polar	`1 + cos(theta)`	Polar curve; also set the theta range

Draw a line progressively: keyframe Draw End from 0 at the start to 1 at the end. Keep Draw Start at 0.
Change the graph shape: use a constant in a formula such as y = a*sin(x), then keyframe a.
Move a point: enable Moving Point and keyframe Point Position.
Reveal a region: choose Wipe, Trace then Fill, or Trace and Fill under Region Animation.

Setting	Purpose
Graph Type / Formula	Graph mode and formula
Add Second Curve / Fill Between	Second curve and fill between curves
Constants a, b, c, d	Adjustable constants used in formulas
Moving Point / Guide Values	Moving point, guides, and coordinate labels
Boundary / Region	Line and fill colors and opacity
View / Keep Equal Scale	Visible range and equal axis scaling
Axes / Grid / Background	Axes, ticks, grid, and background
Curve Samples / Region Resolution	Curve smoothness and region resolution

Variables: x, y, s, t, theta, depending on the graph mode.
Constants: a, b, c, d, pi, e.
Operators: +, -, *, /, ^. Write multiplication explicitly, as in 2*x.
Functions: sin, cos, tan, asin, acos, atan, sqrt, abs, exp, log, ln, floor, ceil, min, max.
The default number font is New Computer Modern Math. You can also select another installed font.