Most cars get their best gas mileage when traveling at relatively modest speed. The gas mileage M for a certain new car is modeled by the function. 𝑀(𝑠) = − 1 28 𝑠 2 + (3 + 𝑚)𝑠 + (31 + 𝑚) , where 𝑠 is the speed in mi/h and M is measured in mi/gal
a. What is the car’s best gas mileage, and at what speed is it attained? Justify your answer?
b. Sketch the quadratic function manually showing all steps.
please help me