Given that the point (-4,0) is on the graph f(x), find the corresponding point for the function f (4x)

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  (-1, 0)

Step-by-step explanation:

We want the point (4x, f(4x)) to match (-4, 0). We already know that f(-4) = 0, so we want 4x = -4.

  4x = -4

  x = -1 . . . . divide by 4

The desired point is (-1, 0).

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Comment on f(4x)

The attached graph shows that f(4x) represents a horizontal compression of the graph of f(x) by a factor of 4. The point on f(4x) with the same y-value, the corresponding point requested by this question, is shown to be (-1, 0).

a

step-by-step explanation:

a