document.write( "Question 1202227: Explain the transformations on y = (2x)2 \n" ); document.write( "
Algebra.Com's Answer #836941 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They want you compare the plot y = (2x)^2 with the plot of the parent function y= x^2.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " There are TWO EQUIVALENT descriptions of this transformation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One description says that the plot is COMPRESSED horizontally with the coefficient of 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The other description says that the plot is STRETCHED vertically with coefficient of 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For given problem, both these descriptions are EQUIVALENT, as I just said above.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They are equivalent, because the function has two equivalent presentations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " y = (2x)^2 = 4*x^2.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |