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Branch 09 · free, no sign-up

Graphing Calculators

A graph is an equation you can look at. These calculators do not just draw the curve — they show which feature of the equation produced each feature of the picture.

Every calculator in this branch is checked by a mathematician before it goes live.

Slope-Intercept Form worked example
  1. 2x + 4y = 8 standard form
  2. 4y = −2x + 8 subtract 2x from both sides
  3. y = −½x + 2 divide every term by 4 — slope −½, intercept 2

Where this sits

What comes before graphing

each topic assumes the one to its left

Stuck part way through? Start at the leftmost topic you are not sure about — everything to the right depends on it.

Knowledge base

Read the reasoning, not just the answer

one article per question a teacher would answer

All explainers

Questions

Asked often enough to answer here

the ones that change how you work, not trivia

What does the vertical line test actually test?

Whether any input has more than one output. If a vertical line crosses the curve twice, one x value maps to two y values, so it is not a function.

Why is the inverse a reflection in y = x?

Because finding an inverse swaps the roles of x and y. Swapping coordinates is exactly what reflecting across that line does to every point.

How do I find domain without graphing?

Look for what breaks. Denominators cannot be zero, even roots cannot take negatives, and logs need a positive argument. Everything else is allowed.

Nearby

Branches that touch this one

linked because the maths overlaps, not because it fills space