document.write( "Question 1117218: Write a formula for a function with a graph that has three xx-intercepts, (-3, 0), (1, 0), and (4, 0).\r
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document.write( "The equation for a cubic graph like this was given to me as y=a(x-h)^3+k
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document.write( "a=stretch factor
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document.write( "h=move graph left/right
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document.write( "k=move graph up/down\r
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document.write( "I don't know how to find the equation with those three x intercepts. \n" );
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Algebra.Com's Answer #732226 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "There is some mix-up in your understanding and in your input.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What they want from you is to find (to write an equation for) the function which has zeroes at assigned points x= -3, x= 1 and x= 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The simplest function which has the assigned zeroes (roots), is the third degree polynomial\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f(x) = (x-(-3))*(x-1)*(x-4).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is constructed as the product of linear binomials, associated with the given zeroes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In more simple form it is \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f(x) = (x+3)*(x-1)*(x-4).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can further to make distributive multiplication and open parentheses, if you want or if you need. \n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |