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Polynomial Graphing Calculator

Math
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Visualizes the graph of a polynomial function by calculating and plotting points.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Coefficient of x² (a), Coefficient of x (b), Constant term (c), Minimum x-value, and Maximum x-value in the units shown.

Step 2

Read x-coordinate of the vertex and y-coordinate of the vertex in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Simple Parabola

Coefficient of x² (a): 1; Coefficient of x (b): 0; Constant term (c): 0; Minimum x-value: -5; Maximum x-value: 5

x-coordinate of the vertex: -0; y-coordinate of the vertex: 0

Shifted Parabola

Coefficient of x² (a): 1; Coefficient of x (b): 0; Constant term (c): 2; Minimum x-value: -5; Maximum x-value: 5

x-coordinate of the vertex: -0; y-coordinate of the vertex: 2

Upside-Down Parabola

Coefficient of x² (a): -1; Coefficient of x (b): 0; Constant term (c): 0; Minimum x-value: -5; Maximum x-value: 5

x-coordinate of the vertex: 0; y-coordinate of the vertex: 0

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