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

Question

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

Graph showing y = f(x) with a transformation for g(x) = f(x+1).

g(x) = f(x+1)

Accepted Answer

Graph the function G. By using the graph of Y equals F M X, G X equals f. Of X plus two. So here we have asian information in this case we have a translation in particular. So you say G. X equals F. X plus two. Now we have a number inside the parentheses with the X. Since that number is in there, we're gonna have a horizontal shift, horizontal shift. We have a plus two there. Since this is a positive number, we're gonna horizontally shift to the left, We're shifting to the left by two. So if you look here our points are one native three In 493. If we shift to the left by two, we're just gonna subtract both for excess by two. That means we get negative one negative three and two negative three. So you want the phonograph with these two points photograph A. We have three negative three and 6 93. That's a transformation to the right. So it's not graph. A grab a B. You notice here the wires have actually shifted and they've shifted up so it can't be graph B C. Has actually shifted down and not to the left. So it can't be C. If you look at D this shift to the left, that means your answer to our problem is gravity. 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)

Verified Solution

Key Concepts

Function Transformation

Horizontal Shift

Graphing Functions

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

Verified Solution

Key Concepts

Function Transformation

Horizontal Shift

Graphing Functions

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