Question

How do you write a radical function that translates `y=sqrtx` four units to the right and graph it?

Answer 1

`y = sqrt(x-4)`

Explanation:

`y=sqrtx`

To transform `y` by 4 units to the right (positive on the x-axis) substitute `x` by `x'` where:

`x = x'+4 -> x'=x-4`

Hence: `y = sqrt(x-4)`

The graph of `sqrt(x-4)` is shown below:

graph{sqrt(x-4) [-0.914, 11.566, -1.14, 5.1]}