graph

graph — noun

1. a diagram made with lines, bars, or curves that lets you see the relationship be

1.nounA2
Definition

a diagram made with lines, bars, or curves that lets you see the relationship between two quantities — for example, rising sales across several months or climbing temperature over time.

Example

The teacher drew a graph on the board to show monthly temperature changes.

collocation: draw a graph / on a graph

Each bar on the graph represents the number of books sold that year.

Common collocations
  • draw a graph
  • line on a graph
  • bar on a graph
  • graph shows
  • look at a graph
  • read a graph
Synonyms
  • chart

    broader term; a chart can include tables and diagrams, not just plotted data

  • diagram

    more general; a diagram may show processes or structures rather than numeric data

  • plot

    specifically the drawn line or curve on a graph; also used as a verb

Grammar Patterns

a graph of [something]

on a graph

Usage Note

Countable noun. Often used with prepositions 'of' (a graph of monthly rainfall) and 'on' (the data shown on a graph). The subject or context is usually data-driven fields such as business, science, or statistics.

Common Mistakes

Please look at the graph chart.
Please look at the graph.
'graph' already means a chart; using both words together is redundant.

2. in mathematics, every point that fits a given equation or function, taken togeth

2.nounB2
Definition

in mathematics, every point that fits a given equation or function, taken together as a visible shape — for example, the U-shaped curve you get from the equation y equals x squared.

Example

The graph of y equals x squared is a U-shaped curve called a parabola.

pattern: graph of [equation]

Ayesha drew the graph of y equals two x plus three for her math homework.

Common collocations
  • graph of an equation
  • graph of a function
  • graph intersects
  • graph shifts
  • draw the graph of
Synonyms
  • curve

    the drawn line itself rather than the complete set of points; less formal in math context

  • function plot

    specifically the visual output of a function; more technical

Grammar Patterns

the graph of [equation]

graph of [function]

Usage Note

Frequently passive in mathematical writing: 'The graph of f(x) is drawn by connecting the plotted points.' Contrast with sense 1 (DATA DIAGRAM), where the focus is on presenting real-world data; this sense focuses on the abstract mathematical relationship itself.

Common Mistakes

The graph equation is complicated.
The equation that produces this graph is complicated.
the graph is the visual result of the equation, not the equation itself.

graph — verb

graph — noun combining form

Word family

Synonym discussion

Sense: noun/1

Graph, chart, and diagram are all ways of presenting information visually, but they differ in focus. A graph specifically shows how two or more variables relate to one another using axes and plotted data — for example, a line climbing from left to right shows a rise in sales over time. A chart is a broader term that includes graphs, but also includes things like bar charts, pie charts, and flow charts. A diagram is the most general of the three; it can show how something works (a diagram of the water cycle) or how parts fit together (a diagram of an engine) without necessarily involving numeric data. In short: graph → relationships between numbers; chart → organised data visualised in various formats; diagram → explanatory drawing of a process or structure. For everyday use, if you are showing numbers on axes, 'graph' is the best choice.

Common collocations

Nouns

  • graph paper
  • graph theory
  • graph database
  • graph layout

Adverbs

  • clearly graphed
  • carefully graphed
  • graphically shown

Phrases

  • draw a graph
  • read a graph
  • plot a graph
  • line graph
  • bar graph
  • graph shows

Prepositions

  • graph of
  • on a graph
  • in a graph
  • graph against

Etymology

GreekEnglish

The word 'graph' comes from the Greek word 'graphē', meaning 'writing' or 'drawing', which itself comes from the verb 'graphein' (to write or scratch). It entered English in the late 1800s as a shortening of 'graphic formula', and was used in mathematics to mean a diagram showing relationships between quantities. The combining form -graph (as in autograph, photograph) traces back to the same Greek root, where it means 'something written or recorded'.