Question

Hey can you please help me posted picture of question

Answer 1

F(x) = x^2
G(x) = 2x^2 - 5

the graph G(x) is the graph of F(x) stretched vertically by factor of 2 and shifted 5 units down

Answer.
D
The graph G(x) is the graph of F(x) stretched vertically and shifted 5 units down

Answer 2

Two transformations are applied to F(x) to obtain G(x)

1) F(x) is multiplied by 2.
Multiplying a function by a magnitude greater than 1 results vertical stretch.
So, F(x) is stretched by a factor of 2.

2) 5 is subtracted from the function value.
Subtraction of a number indicates downward shift.

So, G(x) is obtained from F(x) by stretching it vertically by a factor of 2 and shifting down by 5 units

Thus, option D is the correct answer