An easy way to graph logarithmic functions, exponential functions and square root functions is to know the basic graph of the parent functions, then shift accordingly.

f(x) = sqrt(x), f(x) - sqrt(x) flips across the x axis, f(x) = sqrt(-x) flips across the y-axis

f(x) = sqrt(x - h) shifts h units to the right, f(x) = sqrt(x +h) shifts h units to the left, f(x) = sqrt(x + h) + k shifts h units left and k units up, f(x) = sqrt(x) - k, shifts k units down.

The shifts and flips are very similar with f(x) = log(x), f(x) = e^x, etc.

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