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

Feb 22, 2017

$y = \sqrt{x - 4}$

#### Explanation:

$y = \sqrt{x}$

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

$x = x ' + 4 \to x ' = x - 4$

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]}