Answered

Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Our platform is designed to provide quick and accurate answers to any questions you may have.

Give the name of the parent function and describe the transformation represented.

Give The Name Of The Parent Function And Describe The Transformation Represented class=

Sagot :

5 units to the left and 2 units downwards

Explanation:[tex]f(x)\text{ = |x + 5| - 2}[/tex]

The parent function:

f(x) = |x|

Name of parent function is absolute value function

The transformtion from parent function to the new function:

[tex]\begin{gathered} \text{from f(x) = |x| to f(x) = |x + 5| - 2} \\ \text{For translation:} \\ f(x)\text{ = |x + a| (translation to the left)} \\ f(x)\text{ = |x - a| (translation to the right)} \\ \\ So\text{ f(x) = |x + 5| is a translation of 5 units to the left} \end{gathered}[/tex][tex]\begin{gathered} For\text{ translation: } \\ f(x)\text{ = |x| + a (translation upwards)} \\ f(x)\text{ = |x| }-\text{ a (translation downwards)} \\ \\ So\text{ f(x) = |x| - 2 is a translation downwards} \end{gathered}[/tex]

Combining both transformation:

f(x) = |x + 5| - 2 is a translation of 5 units to the left and 2 units downwards

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.