Examples Gallery
Click any example to open it in the graphing calculator. Mix & match — DesmosGraph supports adding many examples to one graph.
Functions & basic curves
Linear function
y = 2x + 1
Parabola
y = x²
Cubic with two extrema
y = x³ − 3x
Quartic (W-shape)
y = x⁴ − 2x² + 1
Reciprocal
y = 1/x
Square root
y = √x
Absolute value
y = |x|
Floor
y = ⌊x⌋
Trigonometry
Sine
y = sin(x)
Cosine
y = cos(x)
Tangent
y = tan(x)
Fourier sawtooth
sin(x)+sin(2x)/2+sin(3x)/3
Damped oscillation
y = e^(−x/4)·cos(2x)
Chirp
y = sin(x²)
Polar curves
4-petal rose
r = 2 cos(2θ)
5-petal rose
r = 3 sin(5θ)
Cardioid
r = 1 + cos(θ)
Limaçon
r = 1 + 2 cos(θ)
Archimedes spiral
r = 0.4·θ
Logarithmic spiral
r = e^(0.1θ)
Lemniscate
r² = 4 cos(2θ)
Conic sections
Implicit & artistic
Heart curve
(x²+y²−1)³ = x²y³
Trig grid
sin(x) = cos(y)
Folium of Descartes
x³ + y³ = 3xy
Lemniscate of Bernoulli
(x²+y²)² = 2(x²−y²)
Wavy plaid
cos(xy) = sin(x+y)
Inequalities (regions)
Animated parameters
Sine wave with amplitude/freq/phase
y = a·sin(bx+c)
Power family
y = xⁿ
Slope-intercept (animate slope)
y = mx + b