.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: x, seconds in motion after brakes are applied y, feet car travels once the brakes are applied 1 46 2 84 3 114 a. Find the quadratic function y = ax? + 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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Question
.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:
x, seconds in motion after
brakes are applied
y, feet car travels once the
brakes are applied
1
46
2
84
3
114
a. Find the quadratic function y = ax? + 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.
Transcribed Image Text:.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: x, seconds in motion after brakes are applied y, feet car travels once the brakes are applied 1 46 2 84 3 114 a. Find the quadratic function y = ax? + 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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