document.write( "Question 196682: please help me solve: the cubic function whose graph is shown. (-3,0)(0,-7) (1,0) (3,0) \n" ); document.write( "
Algebra.Com's Answer #147420 by stanbon(75887)\"\" \"About 
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please help me solve: the cubic function whose graph is shown.
\n" ); document.write( "(-3,0)(0,-7) (1,0) (3,0)
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\n" ); document.write( "Form: y = ax^3 + bx^2 + cx + d
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\n" ); document.write( "Substitute for x/y and solve for a,b,c,d
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\n" ); document.write( "(-3,0): (-3)^3a + (-3)^2b + (-3)c + d = 0
\n" ); document.write( "(0,-7): 0a + 0b + 0c + d = -7
\n" ); document.write( "(1,0) : 1a + 1b + 1c + d = 0
\n" ); document.write( "(3,0) : (3)^3 + (3)^2b + (3)c + d = 0
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\n" ); document.write( "Solve the system of 4 equations with 4 unknowns by any method you know
\n" ); document.write( "to get:
\n" ); document.write( "a = -7/9
\n" ); document.write( "b = 7/9
\n" ); document.write( "c = 7
\n" ); document.write( "d = -7
\n" ); document.write( "--------------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "y = (-7/9)x^3 + (7/9)x^2 + 7x - 7
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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