The sine function 𝑓(𝑥)=sin(𝑥) is reflected in the 𝑥-axis.Which of these transformations would give the same result on the sine graph?
Question
The sine function 𝑓(𝑥)=sin(𝑥) is reflected in the 𝑥-axis.Which of these transformations would give the same result on the sine graph?
Solution
The transformation that would give the same result on the sine graph when the sine function 𝑓(𝑥)=sin(𝑥) is reflected in the 𝑥-axis is 𝑓(𝑥)=-sin(𝑥). This is because reflecting a function in the x-axis changes the sign of the output values, which in the case of the sine function, changes sin(𝑥) to -sin(𝑥).
Similar Questions
The function 𝑓(𝑥) is transformed to 𝑔(𝑥) by a horizontal shift by 𝑎 units to the left and vertical stretch by 𝑏 units.Under this transformation, a point 𝐴(2,1) on the graph of 𝑓(𝑥) is transformed to a point 𝐵(0,3) on the graph of 𝑔(𝑥).Find the transformed function 𝑔(𝑥).
How is the graph of y=2x−1𝑦=2𝑥−1 transformed from y=2x𝑦=2𝑥?Horizontal shift Answer 1 Question 3 Answer 2 Question 3 unit(s).
Instructions: Based on the information given in the problem, select the accurate transformation.What is the effect on the graph of the function f(x)=4(3)x𝑓(𝑥)=4(3)𝑥 when f(x)𝑓(𝑥) is replaced with f(x)+7𝑓(𝑥)+7?Translate Answer 1 Question 7 77 units Answer 2 Question 7CheckQuestion 7
ketch and label the following graphs in your notebook. Get a tutor to check your graphs.1. 𝑦=sin(𝑥) over the domain [0,4𝜋].2. 𝑦=cos(𝑥) over the domain [0,4𝜋].
Which of the following statements best describes a trigonometric function having undergone a phase shift? Select all that apply.The graph of y = sec x is translated three units to the left.The graph of y = cot x is reflected over the horizontal axis.The graph of y = tan x is reflected over the vertical axis.The graph of y = sin x is translated three units down.The graph of y = csc x is translated three units to the right.The graph of y = cos x is translated three units up.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.