Question

y=2x²-2x的图像向右移2,再向下移3,得到什么

Answer 1

y=2x²-2x = 2(x²-x)=2(x²-x+1/4)-1/2 = 2(x-1/2)²-1/2

图像向右移2,即 y=2(x-1/2-1/2)²-1/2=2(x-1/4)²-1/2

再向下移3,即 y=2(x-1/4)²-1/2-3 = 2(x-1/4)²-7/2