document.write( "Question 565344: Hi. I'm looking for the quadratic equation that describes the following three sets of coordinates: (5,19) (75,75) (150, 101). Please help. I have no idea where to begin. Thanks!!! \n" ); document.write( "
Algebra.Com's Answer #365759 by lwsshak3(11628)\"\" \"About 
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Hi. I'm looking for the quadratic equation that describes the following three sets of coordinates: (5,19) (75,75) (150, 101). Please help. I have no idea where to begin.
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\n" ); document.write( "I will show you how to do it, but you must work it out yourself:
\n" ); document.write( "Remember the quadratic equation in the form: ax^2+bx+c=0
\n" ); document.write( "It can also be written as: ax^2+bx+c=y
\n" ); document.write( "y is set to zero when finding the roots or zeros.
\n" ); document.write( "..
\n" ); document.write( "With the given 3 sets of (x,y) coordinates, you need to find a, b, and c, with the following 3 equations:
\n" ); document.write( "(5^2)a+5b+c=19
\n" ); document.write( "(75^2)a+75b+c=75
\n" ); document.write( "(150^2)a+150b+c=101
\n" ); document.write( "after finding a, b, and c, plug them into the basic quadratic form of equation: y=ax^2+bx+c
\n" ); document.write( "..
\n" ); document.write( "The numbers are such that finding a, b and c, would require a whole lot of careful algebra work beyond what I would be willing to do, but this is how you do it if you are willing to try.
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