## If f(x)=(x+1)(x-2)(x-3) represent a student’s displacement from school, what changes would g(x)=-0.5(x-9)(x-12)(x-13)+6 entail?

If f(x)=(x+1)(x-2)(x-3) represent a student’s displacement from school, what changes would g(x)=-0.5(x-9)(x-12)(x-13)+6 entail?

(a) Going half as fast, taking the same route in the reverse order, starting 5 mins later, starting 6 miles closer

b)Going half the distance, going in the opposite direction, starting 10 miles closer starting 6 minutes later

c)Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further.

d)Going half the distance, taking the same route but in reverse order, starting 5 miles closer, starting 6 minutes sooner

e) The answer is not there

## Answers ( )

Answer:c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further.Step-by-step explanation:Function ModelingLet’s take a look at both functions provided by the problem:

We are told that f(x) represents a student’s displacement from school. We notice the following changes in g(x) with respect to f(x)

The option that collects all the conditions observed in both functions is:

c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further