long story short a blue car can travel 41 1/2 miles on 1 1/4 gals of gasoline. the red on can travel 22 2/5 on 4/5 gals of gasoline. what's the unit rate for each car and which car can travel the greater distance?

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.