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Functions

The heart of Grade 11 maths: a handful of parent shapes, and the rules for stretching, flipping and sliding them. These demos let you grab the graph and move it, so the rules stop being something to memorise. Works on any phone.

Grade 9–10 · foundation
Lines & Linear Systems
y = mx + b · where lines cross
The straight line everything else is built on. Slide the slope and intercept, add a second line and read off where they cross — the solution of a system — or switch to two points for slope, distance and midpoint.
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Start here
Function Transformer
y = a·f(b(x − h)) + k
Pick a parent function — x², √x, 1/x, 2ˣ, sin x and more — then stretch, flip and slide it with sliders and a draggable handle. Finally see why the numbers inside the brackets work backwards.
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Available now
Parabola Studio
Vertex · standard · factored
Drag a parabola's vertex and width and watch all three forms update together, with the roots, axis of symmetry and the discriminant. See exactly when a quadratic stops having real roots.
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Available now
Exponentials & Logs
Inverses across y = x
A log is just an exponential read backwards. Drag a point along bˣ and watch its mirror land on log_b x, reflected across y = x. Change the base — 2, e, 10 or ½ — and see growth become decay.
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Available now
Sequences & Series
Terms & their running total
See a sequence as bars and its running sum as a line. Switch arithmetic/geometric, slide the first term and the difference or ratio, and watch exactly when a geometric series settles on a limit.
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Grade 12
Polynomials & Rationals
Drag the roots
Build a polynomial by dragging its roots along the x-axis — watch end behaviour and double-root bounces. Switch to rational mode for vertical asymptotes, horizontal asymptotes and holes.
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