Identify the vertex of the graph. tell whether it is a maximum or minimum.

the answer is:

b. (1,-1), minimum.

to answer the question, we need to remember that the vertex of a parabola will be its maximum or its minimum depending on if it open upwards or downwards.

we have that if the parabola opens upwards, its vertex will be its minimum, and if the parabola opens downwards, its vertex will be its maximum.

so, we are given a parabola that opens upwards, so, its vertex which is located at (1,-1) will be its minimum.

hence, the answer is:

b. (1,-1), minimum.

have a nice day!

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.