9514 1404 393
Answer:
(-1, 0)
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).
_____
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).