document.write( "Question 421878: Prove that the graph of any equation of the form y=ax^2+bx+c has exactly one y-intercept. \n" ); document.write( "
Algebra.Com's Answer #294531 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the equation is y = ax^2 + bx + c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the y intercept is the value of y when the value of x is 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when the value of x is 0, this equation becomes y = a*0 + b*0 + c which becomes y = c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there is only 1 value of c that can satisfy this equation, and that is the value of c that is given at the start of the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 20x^2 + 30x + 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 0, this becomes y = 20*0 + 30*0 + 15 which reduces to y = 15.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |