Questions
Multiple fill-in-the-blank
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
View Explanation
Verified Answer
Please login to view
Step-by-Step Analysis
The problem describes a sequence of transformations applied to the basic sine function f(x) = sin(x).
First, a dilation in the y-axis by a factor of 4 scales the amplitude. For sine, this turns sin(x) into 4 sin(x), since vertical stretch multiplies the output by 4.
Next, a translat......Login to view full explanationLog in for full answers
We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!
Similar Questions
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
More Practical Tools for Students Powered by AI Study Helper
Making Your Study Simpler
Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!