### All Algebra 1 Resources

## Example Questions

### Example Question #1 : How To Graph An Absolute Value Function

Which of these would most likely be the equation corresponding to the above graph?

**Possible Answers:**

**Correct answer:**

This is an absolute value graph. Its equation takes the form , in which represent the number of units that the base graph is translated right and up respectively.

Since the graph of is translated two units right and one unit down, and , so the equation would be:

or

### Example Question #2 : How To Graph An Absolute Value Function

Give the -intercept(s) of the graph of the function

**Possible Answers:**

The graph has no -intercepts.

**Correct answer:**

To find the -intercept(s) of the graph, set and solve for .

Rewrite this as the compound equation:

or

Solve each separately:

There are two -intercepts:

### Example Question #3 : How To Graph An Absolute Value Function

Which of these would most likely be the equation corresponding to the above graph?

**Possible Answers:**

**Correct answer:**

This is an absolute value graph. Its equation takes the form , in which represent the number of units that the base graph is translated right and up respectively.

Since the graph of is translated three units left and six units down, and .

Plug these values into the general form of the equation:

Simplify:

### Example Question #4 : How To Graph An Absolute Value Function

**Possible Answers:**

**Correct answer:**

### Example Question #5 : How To Graph An Absolute Value Function

**Possible Answers:**

**Correct answer:**

### Example Question #41 : Functions And Lines

**Possible Answers:**

**Correct answer:**

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