Quick question: what key features are necessary—and how are the features used—to create the sketch of a polynomial function?

First and foremost is the vertex, which is either the highest point or the lowest point of the parabola (which’s is what the graph of a polynomial looks like). From the vertex, you can always determine the next two points closest to the maximum/minimum.

Another key feature includes the y-intercepts, which are important if you want to find the zeros of the polynomial. Sometimes, the x-intercepts may come in handy as well, but not as often as the y-intercepts.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.