For f(x) = 2|x+3| – 5, name the type of function and describe each of the three transformations from the parent function f(x) = |x|

Question

For f(x) = 2|x+3| – 5, name the type of function and describe each of the three
transformations from the parent function f(x) = |x|

in progress 0
Gabriella 5 days 2021-09-13T11:50:33+00:00 2 Answers 0

Answers ( )

  1. Type of function: Absolute value function
    Transformation 1: Stretch vertically by a factor of 2
    Transformation 2: Translate left by 3 units
    Transformation 3: Translate down by 5 units

  2. Answer:

    There are three transformation i.e. vertically stretch, downward and towards left.            

    Step-by-step explanation:

    Given : Parent function f(x)=|x| and transformed function f(x)=2|x+3|-5

    To find : Name the type of function and describe each of the three transformations?

    Solution :

    Parent function f(x)=|x| get transformed into f(x)=2|x+3|-5

    The transformations are as follow :

    1) The function is multiplied by 2 which means there is a transformation vertically by a stretch factor ‘2’.

    2) The function is subtracted by 5 which means there is a transformation downward by a factor ‘5’.

    3) The function inside x value get added by 3 which means there is a transformation left by a factor ‘3’.

    Therefore, There are three transformation i.e. vertically stretch, downward and towards left.

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )