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I have a graf that the domaint is 0,1,2,3 and therange is 0,.5,2,4.5 what is the funtion if (1.5,y) is part of the graf
\n" ); document.write( "-----------------
\n" ); document.write( "Plot the three points: (0,0,5),(1,2),(2,2),(3,4.5)
\n" ); document.write( "It looks like a parabola:
\n" ); document.write( "y=ax^2+bx+c
\n" ); document.write( "Substitute to find a, b, and c,
\n" ); document.write( "If x=0 ; 0.5=0+0+c; so c=1/2
\n" ); document.write( "The y = ax^2+bx+1/2
\n" ); document.write( "If x=1; 2 = a+b+1/2; so a+b = (3/2)
\n" ); document.write( "If x=2; 9/2 = 4a+2b+(1/2):
\n" ); document.write( "1st: a+b = (3/2)
\n" ); document.write( "2nd: 2a+b = 2
\n" ); document.write( "----------
\n" ); document.write( "Subtract 1st from 2nd to get:
\n" ); document.write( "a= 1/2
\n" ); document.write( "----------------
\n" ); document.write( "Substitute into a+b=(3/2) to get
\n" ); document.write( "b = 1
\n" ); document.write( "-------------
\n" ); document.write( "EQUATION:
\n" ); document.write( "y = (1/2)x^2 + x + (1/2)
\n" ); document.write( "So, if x=1.5, y = (1/2)(9/4)+(3/2)+(1/2) = 9/8 + 2 = 25/8 = 3 1/8
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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