Question

The average gas mileage m in miles per gallon for a compact car is modeled by

Answer 1

Answer:

In these functions translation is used.

The transformation means that vertex of function m(s) is translated 18 units downwards.

Step-by-step explanation:

We have been given that average gas mileage m in miles per gallon for a compact car is modeled by  m(s) = - 0.015(s - 47)2 +33 and mileage for an SUV is modeled by my(s) = -0.015(s - 47)2 + 15.

We can see that both functions are parabolic and opens downwards. The vertex of function m(s) is (47,33), while vertex of function my(s) is (47,15). We can describe this change by translation.

This transformation means that function m(s) is translated 18 units downwards and average mileage of SUV is 18 miles/hour lesser than compact car at equal speeds.