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The phrase "the graph displays" is correct and usable in written English.
You could use it when referring to a graph or table, such as when you are summarizing the findings of a study. For example, "The graph displays the percentage of respondents who felt the study was helpful."
Exact(16)
The graph displays the rise in circulation figures between December 1939 and August 1946, and the further boost between August and October 1946.
The graph displays each factor level mean, the overall mean, and the decision limits.
The graph displays the optical density measurements registered three times per week.
The blue line of the graph displays the resistance characteristics of ZnO-CNT.
The graph displays how many Chinese that month evaded the country's censorship to condemn the Chinese Communist Party.
Inserting Fig. 5a, the graph displays the degradation rate constant (K) of RhB over different CZTS photocatalysts.
Similar(44)
ENLARGE A stock trader looks on the graph displaying activity on the French Stock Exchange, in Paris, Tuesday, Aug. 16, 2011.
For examples, some of students pointed out that the taller bar in the graph displayed higher percentage and computed the differences between percentages to report the underlying relations.
JME can be, for example, easily connected with a graph on a web page and when mouse touches a point on the graph, display the corresponding molecule (as shown for example here [28]).
After creating the graph displayed in Fig. 7, it is easy for the student to derive the optimal tilt angle at the location of the PV panel for the specific time and day the test has been conducted.
For Rps13, the most stably expressed gene [6], we obtained the graph displayed in Figure 2A.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com