SAT II Math II : Maximum and Minimum

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

Example Question #1 : Maximum And Minimum

What is the vertex of ?  Is it a max or min?

Possible Answers:

Correct answer:

Explanation:

The polynomial is in standard form of a parabola.

To determine the vertex, first write the formula.

Substitute the coefficients.

Since the  is negative is negative, the parabola opens down, and we will have a maximum.

The answer is:  

Example Question #2 : Maximum And Minimum

Given the parabola equation , what is the max or minimum, and where?

Possible Answers:

Correct answer:

Explanation:

The parabola is in the form:  

The vertex formula will determine the x-value of the max or min.  Since the value of  is negative, the parabola will open downward, and there will be a maximum.

Write the vertex formula and substitute the correct coefficients.

Substitute this value back in the parabolic equation to determine the y-value.

The answer is:  

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