The rover examined a section of the planet that was 3/4 of a kilometer long by 1/2 of a
kilometer wide.
Make a diagram of the section. What was the
area of the section the rover examined, in
square kilometers?

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!