30.5k views
5 votes
Write the resulting function f(x) = |x| translated left 2 units and translated up 3 units.

1 Answer

3 votes

Final answer:

The original function f(x) = |x| is first translated left 2 units by replacing x with (x+2), resulting in f(x) = |x+2|. After this, it is translated up by 3 units resulting in the final function: f(x) = |x+2| + 3.

Step-by-step explanation:

The original function given is f(x) = |x|. When we want to translate this function to the left by 2 units, we should replace 'x' with '(x+2)' resulting in a new function: f(x) = |x+2|. This shifts the function to the left on the x-axis by 2 units.

Similarly, To translate the function up by 3 units, we simply add 3 to the entire function, which gives us: f(x) = |x+2| + 3. This moves the function up on the y-axis by 3 units. So, the final resulting function after translating left 2 units and up 3 units is f(x) = |x + 2| + 3

Learn more about Function Translation

User Nicolas Lauquin
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories