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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) = 10x .

A The graph is reflected across the x−axis.
B The graph is translated 10 units to the right.
C The graph is vertically shrunk.
D The graph is translated 10 units up.
E The graph is rotated about (0, 0), becoming steeper.
F The graph is vertically stretched.

Respuesta :

kaitlynfrench
I believe it's E. If you put it into a graphing calculator, it becomes steeper. I hope this helps.

Answer:

The descriptions that apply are E and F.

Step-by-step 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.

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