The Point $(a, b)$ Lies on the Graph Of $y=f(x)$ If the Graph Is Reflected Across The Of y=f(x)

Multiple Choice

The point $(a, b)$ lies on the graph of $y=f(x)$ . If the graph is reflected across the $y$ -axis and compressed toward the $y$ -axis by a factor of $d$ (with $d<1$ ) , and then translated upward 4 units, what are the new coordinates for the point $(a, b)$ ?

A) $(d(a+4) , 4+b)$
B) $(-d a+4, b+4)$
C) $(d a, b+4)$
D) $(-d a, b+4)$