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Answer:
(b) g(x) = -f(x+3)
Step-by-step explanation:
The dashed-line graph is a reflection over the x-axis and a left-shift by 3 of the solid-line graph. To reflect the function over the x-axis, negate it.
f(x) ⇒ -f(x) . . . . reflected over the x-axis
To translate a function to the right horizontally by "h" units, replace x in the function with (x-h). Here, we want a left shift, so h=-3. That is, x is replaced by (x+3).
Both transformations together give you ...
g(x) = -f(x+3)
