Question

The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)

Answer 1

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 $\frac{1}{2}$ 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 $g(x) = \frac{1}{2} x^{2}$.

Hence, option A is correct. (Answer)

Answer 2

Answer: A

Step-by-step explanation: