The graph of \(y = f(x)\) is shown below.

For each point \((a,b)\) that is on the graph of \(y = f(x)\) the point is plotted \(\left( 3a - 1, \frac{b}{2} \right)\), forming the graph of another function \(g(x)\) As an example, the point \((0,2)\) lies on the graph of \(y = f(x)\) so the point \((3 \cdot 0 - 1, 2/2) = (-1,1)\)lies on the graph of

\(y = g(x)\)

(a) Plot the graph of y = g(x) Include the diagram as part of your solution.

(b) Express g(c) in terms of f(x)

(c) Describe the transformations that can be applied to the graph of to obtain the graph of For example, one transformation could be to stretch the graph vertically by a factor of

Guest Jul 14, 2022