In Exercises 33-44, use the graph of y = f(x) to graph each funct...

Question

In Exercises 33-44, use the graph of y = f(x) to graph each function g.  g(x) = -f(x+2)

Accepted Answer

use standard graphs of the function F of X equals X the third, transform it into the following function G X equals negative X minus one to the third. So let's write down our transformations we've noticed here, we first have a negative in the front, the negatives in the front and it's outside the parentheses, which means we have a flip over the X axis or a vertical flip. We also notice we have a negative one in size in parentheses. Now, since that -1 is inside the parentheses with the X. We're shifting this to the right, by what? This is a horizontal shift. So we want to find the graph has flipped over the X-axis and it's moved to the right one. Let's look at our graphs here. Well A and B. Are both not flipped over the X axis. They're still pointing the same direction as our original graph. So it can't be A or B. Let's look at C. Or D. No, we want the middle of the graph and see it actually has shifted to the left or tear down by one as opposed to our original graph. So we can't say it's C. Let's look at D. You look at D. If our original point is at 00, We're going over by 1-10. That is shifted over to the right by one and is flipped over the X axis, which means our answer. His answer. D. Okay, I hope that you so thank you for watching. Goodbye

In Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -f(x+2)

Key Concepts

Function Transformation

Horizontal Shift

Vertical Reflection

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