In Exercises 107-118, begin by graphing the cube root function, f...

Question

In Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = ∛(x-2)

Accepted Answer

Graph, the cube root function H X equals the cube group of eight expo 64 as a transformation of the cube group of eight X. So let's go and take a look. We have the cube root of eight x plus 64. Now the final transformation, we need to look at the part under a radical. So we can determine our transformation. We can determine this by looking at the part of a radical and seeing if the coefficient on our X is equal to one. If it is our shift will be given by the number right after the X. If you look here, cowfish on the X is eight, we need to solve for X determine what our shift is as a result. Let's see, we have eight X plus 64 set it equal to zero. Let's go ahead and solve Rex -64- x equals negative 64 Kate X equals -8. This X will determine where we shift. We're shifting on the X -8. Or other words, you have a horizontal shift of eight and this is to the lift, what was on the shift that creates the lift now we can find which graph has a horizontal shift debate to the left. Well, if you look here, graph A, it does shift to the eight to the left. If you look at a graph as being the black line or chancellor the graph as a red line, but yet be a shifted to the right CIA shifted to the right four and DEA shifted to the left. For this means the answer to our problem has an answer. A okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = ∛(x-2)

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