Desmos Calculator Mastery • Lesson 2 of 7

Graph Plotting

Type an equation, read its key features, and let the picture replace the algebra.

To plot, type y = followed by the rule. Use ^ for powers (x^2), * for multiply, and sqrt( ) for a square root. Press Enter and the curve appears; type a new row to add another graph in a new colour.

  1. Type y = x^2 - 5x + 6 into a row.A U-shaped parabola is drawn.
  2. Turn on key points under the graph.The calculator marks the roots at x = 2 and x = 3 (where it crosses the x-axis).
  3. Read the picture instead of factoring.The crossings ARE the solutions of x^2 - 5x + 6 = 0.

On a graph, the x-intercepts are the zeros (solutions), the y-intercept is the constant term, and the lowest or highest point of a parabola is its vertex. If a curve runs off the screen, zoom out so you can see the whole shape before you read anything.

Try it livePlot a parabola and find its roots
  • The parabola y = x^2 - 5x + 6 is already loaded.
  • Tick key points below the graph to mark the roots.
  • Try changing it to y = x^2 - 4x + 3 and watch the roots move.