Question

Use the drawing tool(s) to form the correct answer on the provided graph.

Answer 1

We have been given a graph of function f(x).

Another function g(x) is defined as g(x) = 2f(x -1).

Now we have to use the drawing tool(s) to form the correct graph of the function g(x) = 2f(x -1).

which can be found using transformation

f(x) into f(x-1)

then f(x-1) into 2f(x-1)

f(x-1) shifts the graph of f(x) 1 unit right side.

while 2f(x-1) stretches the graph of f(x-1) by factor of 2. so that means we just have to double the y-coordinate of points on the graph.

So the final graph of g(x) will be as shown in red color.