A.horizontal shift 2 units to the left and vertical shift 5 units up B. horizontal shift 2 units to the left and vertical shift 5 units down C.horizontal shift 2 units to the right and vertical shift 5 units up D. horizontal shift 2 units to the right and vertical shift 5 units down E.vertical stretch by 2, horizontal shift 2 units to the left and vertical shift 5 units up F.vertical stretch by 2, horizontal shift 2 units to the left and vertical shift 5 units down G. vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units up H.vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units down I.vertical compression by 2, horizontal shift 2 units to the left and vertical shift 5 units up J.vertical compression by 2, horizontal shift 2 units to the left and vertical shift 5 units down K.vertical compression by 2, horizontal shift 2 units to the right and vertical shift 5 units up L.vertical compression by 2, horizontal shift 2 units to the right and vertical shift 5 units M.down none of the above Solution y = x^3 to y = 2(x - 2)^3 + 5 Transformation 1 : x^3 becomes (x - 2)^3 This happens by \"right by 2 units\" Transformation 2 : (x - 2)^3 becomes 2(x - 2)^3 This happens by \"vertical stretch by a factor of 2\" Transformatipn 3 : 2(x - 2)^3 + 5 This happens by \"upshift by 5 units\" So, the answer is : G. vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units up.