The average gas mileage m in miles per gallon for a compact car is modeled by m (s) = - 0.015 (s - 47) ^2 + 33, where s is the car's speed in miles per hour. The average gas mileage for an SUV is modeled by m (s) = - 0.015 (s - 47) ^2 + 15. What kind of transformation describes this change, and what does this transformation mean?

Question

Brielle Dodson

Mathematics

2 September, 04:31

The average gas mileage m in miles per gallon for a compact car is modeled by m (s) = - 0.015 (s - 47) ^2 + 33, where s is the car's speed in miles per hour. The average gas mileage for an SUV is modeled by m (s) = - 0.015 (s - 47) ^2 + 15. What kind of transformation describes this change, and what does this transformation mean?

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Fernando Doyle · Answer 1

The transformation is a reduction in the last constant term by 33-15 = 18

That means that the SUV does 18 miles per gallon less than the compact car.