In Exercises 81–94, begin by graphing the absolute value function...

Question

In Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = |x|+3

Accepted Answer

Graph the absolute value function G. X equals absolute value for X plus four as a transformation of F X equals absolute value for X. Now our base graph is the absolute value of four. X. Our transformation is absolute value for X plus four with the four on the outside. You want to check what kind of transformations are on this graph. Now, horizontal transformation, there should be a number inside the absolute value bars with the X. There is no number, so there is no horizontal shift. As a result, I wanna check our vertical shift, our vertical translation Plus four on the outside. Since we have a number outside the absolute value bars that's adding on you do have a vertical shift. This is a positive number. So it basically going up by four. Let's look for a graph that has vertical shift up by four. Now the red graph transformation A goes down for So it can't be graphic A draftee does go up for. Let's check our other graphs. Just be sure graph C Grassy goes to the left for and drafty goes to the right for. So it can't be drafty and it can't be graph. See this means that's our problem, turns out to be graph B. Okay, I hope to help you solve the problem. Thank you for watching. Goodbye

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In Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = |x|+3

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