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.

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.

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.

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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 want to take the …

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, …

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.