In Exercises 1-16, use the graph of y = f(x) to graph each functi...

Question

In Exercises 1-16, use the graph of y = f(x) to graph each function g.

Graph of y=f(x) showing a horizontal line from (1,-3) to (4,-3).

g(x) = f(x-1) - 2

Accepted Answer

Graph the function G. By using the graph of Y equals f of X. Where we have G. X Equals FX -2 -1. But don't look at the transformations that we have. You notice here we have -2 inside the parentheses with our X. That means we have a horizontal shift. Since this is -2. We're going to the right by two. So we're gonna add 2 to both our axis. So our point is one negative three. The other point is four negative three. We had to to our excess we will end up getting three negative three And 6 -3. Now we want to look at our vertical shift, we notice we have a negative one on the outside. That is our vertical shift. The number we have is -1. So we're gonna shift this down by one. So this means we're gonna take our wise and subtract one. So we have 3 -3 -1 is -4. 6, -1 is -4. We should have points at 3 -4 and 6 -4 on our new line. Let's see if we can find the graph that has those points. If you look here, if we know this graph A actually has both points. So the answer to our problem is a Okay, I hope to help you solve the problem. Thank you for watching. Goodbye

In Exercises 1-16, use the graph of y = f(x) to graph each function g.
g(x) = f(x-1) - 2

Key Concepts

Function Transformation

Horizontal Shift

Vertical Shift

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