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Intercepts Of A Graph Calculator

Work out intercepts of a graph instantly with clear inputs, formula shown and shareable results.

About Intercepts Of A Graph Calculator

The y-intercept is found by setting x = 0, which simply gives c. The x-intercepts are the roots, found by setting y = 0 and solving the quadratic; the discriminant decides how many there are.

Formulas

y-intercept

set x = 0, giving y = c

x-intercepts

set y = 0, giving x = (−b ± √(b² − 4ac)) / (2a)

Worked example

With the default values below, Intercepts Of A Graph Calculator returns First x-intercept of 1.00000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Coefficient a in ax² + bx + c
1
Coefficient b
-3
Constant c
2

Results

First x-intercept
1.00000000
Second x-intercept
2.00000000
y-intercept
2.00000000
Number of x-intercepts
2

Step by step

  1. 1Values used
  2. 2y-intercept
  3. 3x-intercepts
  4. 4First x-intercept= 1.00000000
  5. 5Second x-intercept= 2.00000000
  6. 6y-intercept= 2.00000000
  7. 7Number of x-intercepts= 2

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Intercepts of y = x² − 3x + 2?

The y-intercept is 2, and the x-intercepts are 1 and 2.

Can a parabola miss the x-axis?

Yes. A negative discriminant means no real roots, so the curve lies entirely above or below the axis.

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