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If f(x) has a point at (4, 2), which point will be on g(x) = f(x) - 3? A. (4, -1) B. (2, 4) C. (7, 2) D. (1, 2).

User Nehel
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1 Answer

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Final answer:

Option A. The corresponding point on g(x) = f(x) - 3 for the point (4, 2) on f(x) is (4, -1). So, the new y-coordinate will be 2 - 3, which is -1. Thus, the point on g(x) that corresponds to the point (4, 2) on f(x) is (4, -1).

Step-by-step explanation:

If f(x) has a point at (4, 2), then to find the corresponding point on g(x) = f(x) - 3, we simply subtract 3 from the y-coordinate of the point on f(x). The x-coordinate will remain unchanged because the transformation only affects the y-values. So, the new y-coordinate will be 2 - 3, which is -1. Thus, the point on g(x) that corresponds to the point (4, 2) on f(x) is (4, -1).

If the function f(x) has a point at (4, 2), and you want to find the corresponding point on the function g(x) = f(x) - 3, you subtract 3 from the y-coordinate of the point on f(x). This is because g(x) takes the output value from f(x) and decreases it by 3. Therefore, the y-coordinate for the point on g(x) will be 2 - 3, which equals -1, and the x-coordinate will remain the same, which is 4. The point on g(x) will then be (4, -1), which corresponds to option A.

User Biesiad
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