# Graphing Sample Problems

Please help with the following problems.

1. Express each function graphed in terms of a base function.

2. Sketch the graph of a function based on a given base function.

For example: Given f(x), sketch: f(x+3).

See the attached file.

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#### Solution Preview

See the attached file.

I could not see #5 - 12 clearly, but I can still instruct you on how to complete the assignment.

What to do:

1. Each graph should be like f(x) but with a change. (Please see attached PDF file for a description and examples of each type of transformation.)

You need to look at each graph and ask yourself, relative to f(x) what happened?

Example a: if the graph moved to the right, then that's a horizontal shift expressed as f(x+c).

So if it moved 5 to the right, your answer would be f(x-5).

Question: How do you know how many it ...

#### Solution Summary

This solution provides steps to correctly sketch the graph of the transformation of a function based on a prescribed base function. It helps express graphed functions in terms of a base function and helps sketch graphs of a function from a given base function.