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Question 3 (2 points)

What translation takes the graph of f(x) = 4x - 3 to the graph of g(x) = 4x - 6 ?
Translation of 3 units down
Translation of 6 units left
Translation of 6 units down
Translation of 3 units right

1 Answer

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Answer: The graph of g(x) = 4x - 6 is a translation of the graph of f(x) = 4x - 3.

A translation of a function results in a shift of the graph of the function, either horizontally (left or right) or vertically (up or down).

When the graph of a function is shifted down, the y-coordinates of all the points on the graph decrease. When it's shifted to the left, the x-coordinates of all the points on the graph decrease.

In this case, the graph of g(x) = 4x - 6 is a vertical translation of 3 units down from the graph of f(x) = 4x - 3.

The y-coordinates of all the points on the graph of g(x) = 4x - 6 are 3 units less than the y-coordinates of the corresponding points on the graph of f(x) = 4x - 3.

Therefore, the correct answer is:

Translation of 3 units down.

Explanation:

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