ANSWER:
f(x) = |x|
Translation: 5 units left and 2 units down
Explanation:
The parent function is the simplest function that still satisfies the definition of a given type of function. For example, when we think of the linear functions that make up a family of functions, the parent function would be y = x. This is the simplest linear function.
We have the following function:
Therefore, the parent function will be:
Graph both functions and we are left with the following:
Therefore, the transformation splits into two translations, one that is 5 units to the left and the other that is 2 units down.