Question

Which series of transformations takes the graph of f(x)=2x+3 to the graph of g(x)=−2x+4?

reflect the graph about the x-axis and translate 1 unit down

reflect the graph about the x-axis and translate 1 unit up

reflect the graph about the y-axis and translate 1 unit down

reflect the graph about the y-axis and translate 1 unit up

Answer 1

A reflection over the y-axis makes the slope negative and does NOT affect the y-intercept.

Another difference between the 2 functions is a vertical translation of 1 from f(x) to g(x)

Vertical transformations are mapped like this:
f(x) = g(x) + a <-- translates g(x) by 'a' units up.

Answer 2

ooo so D @mhchen

Answer 3

Ye