Function Graphs

These tools let you plot a function and watch its shape change as you adjust the parameters. They cover linear through cubic functions (with vertex, axis, inflection point, and extrema shown automatically), exponential and logarithmic functions, and the conic sections — ellipses and hyperbolas. For charting your own data, see the chart makers instead.

Linear Function Grapher y = ax + b (Free Online Tool)

Free tool to plot y = ax + b instantly. Enter slope a and intercept b, calculate y for any x, and hover the graph to read exact coordinates.

Quadratic Function Grapher & Calculator — Vertex and Roots

Graph y = ax² + bx + c free by entering a, b, and c. Instantly calculate the vertex, axis of symmetry, discriminant, and real roots, then inspect coordinates on the parabola.

Cubic Function Grapher & Calculator — Inflection and Extrema

Graph y = ax³ + bx² + cx + d free by entering a through d. Instantly calculate the inflection point, local maximum, and local minimum, then inspect coordinates.

Exponential Function Graph (y = a·bˣ + c)

Enter coefficient a, base b, and shift c to graph y = a·bˣ + c. Automatically computes y-intercept, horizontal asymptote, and doubling increment.

Logarithm Graph Maker — Free Online (y = a·log_b(x) + c)

Free online tool to graph y = a·log_b(x) + c. Enter coefficient a, base b, and shift c for an instant plot. Automatically computes x-intercept and vertical asymptote. Only defined for x > 0.

Ellipse Graph (x²/a² + y²/b² = 1)

Enter semi-axes a and b to graph the ellipse x²/a² + y²/b² = 1. Automatically computes area, perimeter, eccentricity, and foci. When a = b the ellipse becomes a circle.

Hyperbola Graph (x²/a² − y²/b² = 1)

Enter a and b to graph the hyperbola x²/a² − y²/b² = 1. Automatically computes eccentricity, foci, vertices, and asymptotes.