Question

Hey can you please help me posted picture of question

Answer 1

Following changes are made in graph of G(x) to obtain F(x)

1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)

2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)

3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2

Thus,

F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2

Therefore, option C is the correct answer