A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?

a) f(x) has a maximum vertex

b) g(x) has a minimum vertex

Step-by-step explanation:

The function

has its vertex at (h,k).

If a>0, then (h,k) is a minimum vertex.

If a<0, then (h,k) is a maximum vertex.

The first function is

a=-1<0, therefore the vertex (1,5) is the maximum point.

The second function is

a=1>0, therefore the vertex (-2,-3) is a minimum point.