How does the graph of the function #y=3sqrtx# compare with the graph of the parent square root function?

1 Answer
Timber Lin
Dec 30, 2017

#y=3sqrt(x)# is vertically stretched 3 times compared to #y=sqrt(x)#.

Explanation:

This is because of the coefficient 3 in front of the #sqrt(x)#.
Every point (x,y) on #y=sqrt(x)# corresponds to point (x,3y) on #y=3sqrt(x)#. For example, points (0,0), (1,1), and (4,2) on #y=sqrt(x)# correspond to points (0,0), (1,3), and (4,6) on #y=3sqrt(x)#.

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