The graph function g (x) is a transformation of the graph of function f (x) = x^2. g (x) =

A) 2x^2+3

B) - 2x^2-3

C) - 1/2x2-3

D) 1/2x^2-3

A) 2x^2+3 is a transformation of f (x) = x^2: Stretch the graph vertically by a factor of 2 and then shift the entire resulting graph up by 3 units. The graph will still look like a parabola that opens up.

B) - 2x^2-3 is a transformation of f (x) = x^2: Stretch the graph vertically by a factor of 2, reflect the resulting graph in the x-axis, and then shift the entire resulting graph down by 3 units. The graph will still look like a parabola that opens down.

Answers to C and D are very similar, except that we compress the graph of x^2 v ertically by a factor of (1/2).

None of these A, B, C, D is wrong.