what does g(x)= if there is a Vertical compression by a factor of ½ and a translation of 2 units left.

Answer 1

compress g(x) by 1/2 and shift left 2 gives: g(x+2)/2

for example,

if g(x)= x^2

g(x+2)/2 = (1/2)(x+2)^2= (x^2)/2 +2x+2

the parabola gets flatter and moves left