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The given function values satisfy a function defined by f(x)=ax^2+bx+c. f(3)=19.7 f(−4)=55.4 f(14)=300.2 (a) Set up a system of equations to solve for a,  b,  and c. (b) Write a function of the form f(x)=ax^2+bx+c that fits the data.

The given function values satisfy a function defined by f(x)=ax^2+bx+c. f(3)=19.7 f(−4)=55.4 f(14)=300.2 (a) Set up a system of equations to solve for a,  b,  and c. (b) Write a function of the form f(x)=ax^2+bx+c that fits the data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.2: Zeros Of Linear Fumctions
Problem 57PFA
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The given function values satisfy a function defined by f(x)=ax^2+bx+c.
f(3)=19.7

f(−4)=55.4

f(14)=300.2

(a) Set up a system of equations to solve for a,  b,  and c.

(b) Write a function of the form f(x)=ax^2+bx+c that fits the data.

 
 
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