## 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|

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

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

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

Step-by-step explanation:

Given : Parent function and transformed function

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

Solution :

Parent function get transformed into

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.