Y= 1/2x+2 is translated on the basis of Y= 1/2x image, but the opening size of the image is the same in different positions.

Y= 1/2x and y=3x have different curvatures, so we can see the difference in coefficient and opening size.

Y=3x+2 is translated on the basis of Y=3x image, but the opening size of the image is the same in different positions.