题目
题目

MCD2130 - T2 - 2025 MCD2130 Sample Test 3

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Question textThe circular function [math: f(x)=sin(x)] has been dilated in the [math: y] axis direction by a factor [math: 4]\displaystyle {4}, translated [math: π4]\displaystyle {\frac{\pi}{4}} units in the positive direction of the [math: x] axis and translated [math: 7]\displaystyle {7} units in the negative direction of the [math: y] axis. The resulted function is [math: f(x)]=[input] Check Question 1

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思路分析
Question restatement: The problem gives a circular function f(x) = sin(x) that undergoes three transformations: (1) a dilation in the y-axis by a factor of 4, (2) a horizontal translation π/4 units to the right, and (3) a vertical translation 7 units downward. The resulting function is to be identified. Step-by-step reasoning: - Start with f(x) = sin(x). - First transformation: dilation in the y-axis by a f......Login to view full explanation

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Question textThe circular function [math: f(x)=sin(x)] has been dilated in the [math: y] axis direction by a factor [math: 3]\displaystyle {3}, translated [math: π3]\displaystyle {\frac{\pi}{3}} units in the positive direction of the [math: x] axis and translated [math: 8]\displaystyle {8} units in the negative direction of the [math: y] axis. The resulted function is [math: f(x)]=[input] Check Question 1

Question textThe circular function [math: f(x)=sin(x)] has been dilated in the [math: y] axis direction by a factor [math: 6]\displaystyle {6}, translated [math: 2π3]\displaystyle {\frac{2\,\pi}{3}} units in the positive direction of the [math: x] axis and translated [math: 6]\displaystyle {6} units in the negative direction of the [math: y] axis. The resulted function is [math: f(x)]=[input] Check Question 1

Question textThe circular function [math: f(x)=sin(x)] has been dilated in the [math: y] axis direction by a factor [math: 4]\displaystyle {4}, translated [math: π4]\displaystyle {\frac{\pi}{4}} units in the positive direction of the [math: x] axis and translated [math: 7]\displaystyle {7} units in the negative direction of the [math: y] axis. The resulted function is [math: f(x)]=[input] Check Question 1

Question textThe circular function [math: f(x)=sin(x)] has been dilated in the [math: y] axis direction by a factor [math: 4]\displaystyle {4}, translated [math: π4]\displaystyle {\frac{\pi}{4}} units in the positive direction of the [math: x] axis and translated [math: 8]\displaystyle {8} units in the negative direction of the [math: y] axis. The resulted function is [math: f(x)]=[input] Check Question 5

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