Sal graphs y=√x. Then, he shows a few examples of how we can shift and stretch the graphs of y=√x and y=x^2, and how the equations of those graphs look. Created by Sal Khan and CK-12 …

We can graph various square root and cube root functions by thinking of them as transformations of the parent graphs y=√x and y=∛x.

Sal shows various examples of functions and their graphs that are a result of shifting and/or flipping y=√x. Created by Sal Khan.

In this article, we will practice a couple of problems where we should match the appropriate graph to a given radical function. I want to watch a video before we start!

Sal is given a drawing with four graphs and four formulas of square-root functions. He uses transformations to match each formula with its appropriate graph.

Given the formula of a square-root or a cube-root function, find the appropriate graph.

Graphs of radical functions Learn Transforming the square-root function Graphs of square-root functions

Importantly, we can extend this idea to include transformations of any function whatsoever! This fascinating concept allows us to graph many other types of functions, like square/cube root, …

So if we really want to get to the x plus 2 in the appropriate domain, we want to take the positive square root. And in the next video or the video after that, we'll solve an example where you …

Now, let's make another function, g of x, and I'll start off by also making that the square root of x. So no surprise there, g of x was graphed right on top of f of x.