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) ![]() You can put this solution on YOUR website! please help me solve: the cubic function whose graph is shown. \n" ); document.write( "(-3,0)(0,-7) (1,0) (3,0) \n" ); document.write( "----- \n" ); document.write( "Form: y = ax^3 + bx^2 + cx + d \n" ); document.write( "-------------- \n" ); document.write( "Substitute for x/y and solve for a,b,c,d \n" ); document.write( "---------- \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 \n" ); document.write( "------------------------------------------------------ \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 \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |