Suppose (2,-2) is a point on the graph of y​g(x). What point is on the graph of y=g(2x+4)?

Answer 1

There are an unlimited number of points on the line whose equation is g(x) = 2x + 4.

Answer 2

(2,-2) corresponds to (2(2)+4, -2) = (8,-2) but the y coordinate

is really unknown without more information on tht g function

another major possibility might be (8, -8)

replace x by 2x+4,

replace 2 by 2(2)+4 = 8

if g(x) = -x, then the point is (8,-8)

if g(x) =-2, then the point is (8,-2)

if g(x) = something else the the point is (8,y) where y could be anything