Question

Select all of the descriptions which describe a transformation of the graph of f(x)=x that could result in

the graph of g(x) = 2x.

A. The graph is translated 2 units to the right.

B. The graph is rotated about (0,0), becoming steeper.

C. The graph is vertically stretched.

D. The graph is translated 2 units up.

E. The graph is vertically shrunk.

F. The graph is reflected across the x-axis.

Answer 1

This answer will be a because

Answer 2

The descriptions that apply are E and F.

Explanation:

Let's graph both functions, attached the result:

A: No. The graph is not reflected across x-axis. For this to happen, there should be a negative sign: g(x) = -x, for example

B: No, the graph doesn't translate. The graph only translates if there is: g(x) = a(x-c)+b, where b defines the vertical translation, and c the horizontal one.

C: No. This would happen for g(x)=x/2, for example.

D: No. Check the explanation of B.

E: Yes. The graph rotates due to the factor of 10. This rotation only applies for straight lines.

F: Yes. It stretched.