Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
How to determine the transformations
The equation of the function is given as:
[tex]g(x) = 2 - x[/tex]
The parent function of the above equation is:
[tex]f(x) = x[/tex]
First, the function f(x) is reflected across the y-axis to give
[tex]f(-x) = -x[/tex]
Next, the function is shifted 2 units up.
So, we have:
[tex]f(-x) + 2 = -x + 2[/tex]
Rewrite as:
[tex]f(-x) + 2 = 2-x[/tex]
Express f(-x) + 2 as g(x).
So, we have:
[tex]g(x) = 2-x[/tex]
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
Read more about function transformation at:
https://brainly.com/question/1548871
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.