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9 August, 08:13

Suppose f (x) = x2 and g (x) = 4x2. Which statement best compares the graph of g (x) with the graph of f (x) ?

A. The graph of g (x) is the graph of f (x) vertically compressed by a factor of 4.

B. The graph of g (x) is the graph of f (x) horizontally stretched by a factor of 4.

C. The graph of g (x) is the graph of f (x) vertically stretched by a factor of 4.

D. The graph of g (x) is the graph of f (x) shifted 4 units left.

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Answers (1)
  1. 9 August, 10:51
    0
    Given:

    f (x) = x²

    g (x) = 4x²

    Therefore

    g (x) = 4f (x)

    This means that the value of g (x) is 4 times the value of f (x). So the graph og (x) is the graph of f (x) vertically stretched by a factor of 4.

    The graph shown below confirms the conclusion.

    Answer: C.

    The graph of g (x) is the graph of f (x) vertically stretched by a factor of 4.
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