Use a graphng utlty and table below to solve. a) fnd a quadratc functon that models the data. (Example:y= -0.1839x^2+2.0789x+1.830) ^ denotes an exponent follows. X......Y 1....3.5 2.....5.6 3.....6.4 4.....7.4 5.....7 6.....8 Solution f(x)=y=ax^2+bx+c putting x=1 and y=3.5 a+b+c=3.5 putting x=2 and y=5.6 4a+2b+c=5.6 putting x=3 and y=6.4 9a+3b+c=6.4 solving three equations we get, a=-0.65 b=4.05 c=0.1 y=-0.65x^2+4.05x+0.1 .
Use a graphng utlty and table below to solve. a) fnd a quadratc functon that models the data. (Example:y= -0.1839x^2+2.0789x+1.830) ^ denotes an exponent follows. X......Y 1....3.5 2.....5.6 3.....6.4 4.....7.4 5.....7 6.....8 Solution f(x)=y=ax^2+bx+c putting x=1 and y=3.5 a+b+c=3.5 putting x=2 and y=5.6 4a+2b+c=5.6 putting x=3 and y=6.4 9a+3b+c=6.4 solving three equations we get, a=-0.65 b=4.05 c=0.1 y=-0.65x^2+4.05x+0.1 .