Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our 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
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.