Answer:
A) ƒ(x) = + 3
Step-by-step explanation:
A. f(x)=−x+3
Explanation:
It is stated that the function f(x) is translated 3 units in the positive y-direction. This means that the function f(x) is moved 3 units upwards.
In transforming functions, a upwards vertical translation (moving the function upwards) of a units is done by: f(x) + a.
This means that in order to move f(x) 3 units upwards, we need to add 3 to the given function. This now makes our function:
f(x)=x+3
Finally, it is also stated that it is reflected across the y-axis. For reflection across the y-axis, the transformation can be done by simply multiplying -1 to x only
f(x)=−1×x+3
f(x)=−x+3
Therefore, the answer is A
