Function image translation problem! A function y = f (x) 1. What is the image after the abscissa unchanged, the ordinate changed to the original a-fold and reduced to the original a-fold? 2. What is the image after the abscissa unchanged, the abscissa changed to the original a-fold and reduced to the original a-fold?

Function image translation problem! A function y = f (x) 1. What is the image after the abscissa unchanged, the ordinate changed to the original a-fold and reduced to the original a-fold? 2. What is the image after the abscissa unchanged, the abscissa changed to the original a-fold and reduced to the original a-fold?

1, the abscissa does not change, and the ordinate changes to the original a-fold analytic formula y = AF (x)
The abscissa is invariant and the ordinate is reduced to the original a, and the analytic formula is y = f (x) / A
2. The ordinate does not change, and the abscissa changes to the original a-fold analytic formula y = f (x / a)
The ordinate is invariable and the abscissa is reduced to the original a-fold analytic formula y = f (AX)

How to translate function image left and right?
A function, up or down to add B or subtract B, then which variable is left or right?

The left shift of a function y = KX + B is y = K (x + n) + B, and the right shift is y = K (x-n) + B. also note that the up shift Y-1 = KX + B, the down shift y + 1 = KX + B, the up minus down plus

Circular function image translation
If you move a circular function image of x ^ 2 + y ^ 2 = 1 up a unit, will you get x ^ 2 + (Y-A) ^ 2 = 1

Yes. Dot from (0.0) to (0, a)