A mathematical model can be used to describe the relationship between the number of feet a car travels once the brakes are applied, y, and the number of seconds the car is in motion after the brakes are applied, x. A research firm collects the following data:

a. Find the quadratic function y = ax² + bx + c whose graph passes through the given points.

b. Use the function in part (a) to find the value for y when x = 6. Describe what this means.

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x, seconds in motion after brakes are applied 1 23 2 y, feet car travels once the brakes are applied 46 84 114