All SAT II Math I Resources
Example Question #1 : Maximum And Minimum
What is the vertex of the following function? Is it a maximum or a minimum?
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.
Example Question #2 : Maximum And Minimum
Determine the maximum or minimum of .
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,