Question

Which function is represented by the graph?
The parent absolute value function is translated
3 units and
1 unit.
The function that is graphed is f(x) =
✓.

Answer 1

The function that is graphed is f(x) = |x - 3| + 1

How to determine the graphed function?

The parent absolute function is:

f(x) = |x|

From the graph, we have the following transformations:

• 3 units left
• 1 unit up

This is represented as:

(x, y) = (x - 3, y + 1)

So, we have:

f(x) = |x - 3| + 1

Hence, the function that is graphed is f(x) = |x - 3| + 1

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