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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 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.

Math> Algebra 2> Transformations of functions> Graphs of square and cube root functions

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.

Learn how to flip and shift radical functions with this interactive tutorial on Khan Academy.

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 …

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!