Mickey1012
Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Margo is comparing the functions f(x) = |x| and g(x) = |x + 1| - 5. She said the graph of g is a vertical translation of the graph of f 5 units down and a horizontal translation of the graph of f 1 unit right. What is Margo's error?

Sagot :

Given function in the question is,

  • f(x) = |x|
  • Image function after horizontal and vertical translations,

        g(x) = |x + 1| - 5

Rules to remember for the translation a function,

  • If the function 'f' is translated 'h' units right, the image function will be,

        g(x) = |x - h|

  • If the function 'f' is translated 'h' units left, the image function will be,

        h(x) = |x + h|

  • If a function 'f' is translated 'k' units up, the image function will be,

        k(x) = |x| + k

  • If a function 'f' is translated 'k' units down, image function will be,

        p(x) = |x| - k

Using these rules,

Function 'f' will be translated 1 units left and and 5 units down to form the image function 'g'.

       Therefore, Margo made an error to interpret that the function is translated 1 units right.

Learn more,

https://brainly.com/question/10222624

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.