Answer:
<h2>B. The graph of g(x) is horizontally stretched by a factor of 2.</h2>
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.
