How do you describe the transformation of #f(x)=sqrt(3x)+1# from a common function that occurs and sketch the graph?

1 Answer
Aug 4, 2017

The "#+1#" term indicates the function will be "up #1#" relative to the base function.

The "#sqrt(3x)#" term indicates that the function has a horizontal "shrink factor" of #1/3# compared to the base #sqrtx#.

The graph of the parent function, #f(x) = sqrtx#:

graph{sqrtx [-9.045, 10.955, -5.68, 4.32]}

And the graph of #f(x) = sqrt(3x) + 1#:

graph{sqrt(3x) + 1 [-6.88, 13.12, -5.04, 4.96]}