The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)A. g(x) = (1/2) x^2B. g(x) = 4x^2C. g(x) = 1/4 x^2D. g(x) = 2x^2f(x) = x2g(x) = ?

Answer:Option A is correct.Step-by-step explanation:See the two graphs given in the diagram attached. The first graph shows the function f(x) = x² Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points. Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve. Hence, the y-value corresponding to the same x-value reduces by a factor [tex]\frac{1}{2}[/tex] in the second graph i.e. the graph of y = g(x) compared to the first graph. So, we can conclude that the transformed graph has the equation [tex]g(x) = \frac{1}{2} x^{2}[/tex]. Hence, option A is correct. (Answer)