Question

15. If g(x) = -f(x + 3), how does g(x) compare to f(x)?

Answer 1

Step-by-step explanation:

f(x+3) is a translation 3 units to the left, because x + 3 = 0 → x = -3.

Then -f(x) is a reflection where x stays the same and the y-values change:

`(x,y)\rightarrow(x,-y)`

Which is a reflection over the x-axis.

Answer:

(A) Vertical reflection about the x-axis, horizontal translation 3 units left.