Question

Please help and thank you

Answer 1

Answer:

B. The graph of g(x) is horizontally stretched by a factor of 2.

Step-by-step explanation:

Since the 2 is 2x that means it is on the x line which is horizontal. So B is your answer.

Answer 2

Answer:

B. The graph of g(x) is horizontally stretched by a factor of 2.

Step-by-step explanation:

f(x - b) - the graph being shifted b units to the right.

f(x + b) - the graph being shifted b units to the left.

f(x) + c - the graph being shifted c units up.

f(x) - c - the graph being shifted c units down.

f(-x) - the graph being reflected across the y-axis.

-f(x) - the graph being reflected across the x-axis.  

f(nx) - a horizontal compression by a factor of n.

f(x/n) - a horizontal stretch by a factor of n.

n f(x) - a vertical stretch by a factor of n.

1/n f(x) -  a vertical compression by a factor of n.

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We have f(x) = x² and g(x) = (2x)² → g(x) = f(2x/2).

Therefore the graph of g(x) is horizontally compressed by a factor of 2.