In this case, we'll have to carry out several steps to find the solution. 
Step 01:
Data
y = 2x² + 4x + 1 
point (1 , 7)
reflection point = ? 
Step 02:
Parabola Graph
Reflection point (1 , 7) ===> (-3 , 7)
The answer is:
The reflection point is (-3 , 7)