### All SAT II Math I Resources

## Example Questions

### Example Question #41 : Functions And Graphs

What is the vertex of the following function? Is it a maximum or a minimum?

**Possible Answers:**

**Correct answer:**

Explanation:

The equation of a parabola can be written in vertex form

where is the vertex and ** **determines if it is a minimum or maximum. If is positive, then it is a minimum; if is negative, then it is a maximum.

In this example,** ** is negative, so the vertex is a maximum.

and

### Example Question #1 : Maximum And Minimum

Determine the maximum or minimum of .

**Possible Answers:**

**Correct answer:**

Explanation:

Rewrite the equation by the order of powers.

This is a parabola in standard form:

Determine the values of to the vertex formula.

Since the leading coefficient of the parabola is negative, the parabola will curve downward and will have a maximum point.

Therefore there is a maximum at,

.

### All SAT II Math I Resources

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