Guides
The ideas behind the graphs, explained with worked examples and figures you can open and play with.
Vertex form of a quadratic
y = a(x − h)² + k: read the vertex straight off the equation.
7 min readEquation of a circle
(x − h)² + (y − k)² = r²: centre (h, k), radius r.
6 min readParent functions
The basic shapes every graph is a transformation of.
8 min readGraph transformations
Shifts, stretches and reflections of any graph.
8 min readInverse functions and their graphs
Reflect in y = x; the horizontal line test.
6 min readPlotting points on a graph
Coordinates, quadrants and plotting from a table.
5 min readPolar coordinates
Points by distance and angle, and the curves they make.
7 min readConic sections
Circles, ellipses, parabolas and hyperbolas.
8 min readSolving systems of equations by graphing
The solution is where the graphs cross.
6 min readHow to read a box plot
Five numbers, one picture: reading box and whisker plots.
7 min readLearn by graphing
Change one number at a time and watch what the graph does. It is the fastest way to understand a formula.