Answer:
C. y = 2x² +8x +6
Step-by-step explanation:
Reflecting f(x) across the y-axis changes the sign of x, so the new function is ...
f(-x)
Vertical scaling by a factor of "a" multiplies the function value by "a", so the new function is ...
a·f(x)
Doing both gives you ...
y = a·f(-x)
y = ax² +4ax +3a
None of the answer choices look like this. However, they match this if a=2:
y = 2x² +8x +6