document.write( "Question 1088568: Hi, I am having trouble with transformations and I hope someone can help me. The problem states: if f(x)=x^2, then write g(x) so that it translates f(x) in the following way: reflect across the x-axis, shift vertically up 7 units, shift horizontally left 4 units. I believe the shift up will be x^2+7 and the shift left 4 will be (x+4), but I have no idea how to correctly write these. Would it be g(x)=x^2+7(x^2+4)? Thanks for any help! \n" ); document.write( "
Algebra.Com's Answer #702862 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Hi, I am having trouble with transformations and I hope someone can help me. The problem states: if f(x)=x^2, then write g(x) so that it translates f(x) in the following way: reflect across the x-axis, shift vertically up 7 units, shift horizontally left 4 units. I believe the shift up will be x^2+7 and the shift left 4 will be (x+4), but I have no idea how to correctly write these. Would it be g(x)=x^2+7(x^2+4)? Thanks for any help! \n" ); document.write( "------ \n" ); document.write( "Start:: f(x) = x^2 \n" ); document.write( "reflect across the x-axis to get \n" ); document.write( "h(x) = -x^2 \n" ); document.write( "shift vertically up 7 units to get \n" ); document.write( "p(x) = -x^2 + 7 \n" ); document.write( "shift horizontally left 4 units to get \n" ); document.write( "g(x) = -(x-4)^2 + 7 \n" ); document.write( "-------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |