Graphs that represent direct variation are proportional functions
The graph represents a direct variation
How to determine the type of graph
From the graph, we have the following ordered pairs
(x,y) = (0,0), (2,4) and (3,9)
Rewrite as:
(x,x^2) = (0,0^2), (2,2^2) and (3,3^2)
The above means that, the equation of the graph is:
[tex]y = x^2\\[/tex]
i.e. y varies directly to the square of x
Where the proportionality constant is 1
Hence, the graph represents a direct variation
Read more about direct variations at:
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