How do you write a radical function that translates $y = \sqrt{x}$ $y=sqrtx$ four units to the right and graph it?

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Answer 1 · 2017-02-22T11:14:35

$y = \sqrt{x - 4}$ $y = sqrt(x-4)$

$y = \sqrt{x}$ $y=sqrtx$

To transform $y$ $y$ by 4 units to the right (positive on the x-axis) substitute $x$ $x$ 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]}

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