Question

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

Answer 1

5 units to the left and 2 units downwards

Step-by-step explanation:
`f(x)\textx + 5`

The parent function:

f(x) = |x|

Name of parent function is absolute value function

The transformtion from parent function to the new function:

`\begin{gathered} \textx \\ \text{For translation:} \\ f(x)\text = \\ f(x)\text = \\ \\ So\text f(x) = \end{gathered}`
`\begin{gathered} For\text{ translation: } \\ f(x)\textx \\ f(x)\text = -\text{ a (translation downwards)} \\ \\ So\text f(x) = \end{gathered}`

Combining both transformation:

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