Maximum and Minimum - SAT Subject Test in Math II

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Question

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

Answer

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:

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Question

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

Answer

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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