document.write( "Question 77574: can someone please help me with this. What is the particular equation for the quadratic function described in the situation.
\n" ); document.write( "The sluggers were up to bat in the bottom of the ninth inning in a game against the ditchers. Theo Slam was up to bat. As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance. \n" ); document.write( "
Algebra.Com's Answer #55644 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance.
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\n" ); document.write( "You have three tracking points: (0,3),(2,10),(14,50)
\n" ); document.write( "The equation is y=ax^2+bx+c
\n" ); document.write( "Substitute the point values and solve for a,b,c
\n" ); document.write( "3=0a+0b+c
\n" ); document.write( "10=4a+2b+c
\n" ); document.write( "50=196a+14b+c
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\n" ); document.write( "Solve the system of linear equations.
\n" ); document.write( "I used a TI calculator's matrix method to get:
\n" ); document.write( "X=A^-1B
\n" ); document.write( "a= -0.0119047
\n" ); document.write( "b= 3.5238095
\n" ); document.write( "c= 3
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\n" ); document.write( "EQUATION:
\n" ); document.write( "y=-0.119047x^2+3.5238095x+3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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