In Exercises 17-32, use the graph of y = f(x) to graph each funct...

Question

In Exercises 17-32, use the graph of y = f(x) to graph each function g.  g(x) = 2f(x+2) − 1

Accepted Answer

Graph function A choosing the graph of Y equals F of X. So Y equals F of X graph is this graph right here. And we want to find HX Equals 1/2 FX. Let's forget what F 1/2 FX is. So we're given two points on our graph 027, -27 rather and 30. Let's take a zero first because we have X zero here H zero is one half F zero. Now we know F0 is Based on our graph that is our negative To solve this, we get negative 13.5. So in our Graph H0, we shouldn't have a point at 0 -13.5. Let's go ahead and check our three. Now x equals three H three equals 1/ F of three. No, one half R F F three is zero. We should get zero. So we should have a point as well At 30. So we need to find the graph. Now that has a point as zero, negative 13.5 and 30. Well, if you look at our possible graphs, Graph a does have 0 -13.5 and 30. And it's a similar shape. That's our original B has zero, negative 54 30, C has native 30 and zero, positive 13.5 and D negative 30 N zero, negative 13.5. Looking at all those graphs, there's only one of them that has, are two points that is graph A which makes this our answer. Okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

In Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = 2f(x+2) − 1

Key Concepts

Function Transformation

Horizontal Shift

Vertical Stretch and Shift

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