question 34 points 2

how many units the function $y = |x - 2| + 3$ is translated from the parent function?

moved 2 units right and 3 unit upwards from the origin

moved 2 units left and 3 unit downwards from the origin

Question

question 34 points 2

how many units the function $y = |x - 2| + 3$ is translated from the parent function?

moved 2 units right and 3 unit upwards from the origin

moved 2 units left and 3 unit downwards from the origin

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Absolute Value Function", "Absolute Value Transformations" ], "new_concepts": [], "current_concepts": [ "Absolute Value Function", "Absolute Value Transformations", "Function Transformations" ] } ## Identify the parent function and given function Using the *Absolute Value Function* knowledge point $$ \begin{aligned} &f(x) = |x|\ &y = |x - 2| + 3 \end{aligned} $$ ## Determine the horizontal and vertical translations Using the *Absolute Value Transformations* knowledge point $$ \begin{aligned} &g(x) = a|x - h| + k\ &h = 2 \implies \text{Translated 2 units right}\ &k = 3 \implies \text{Translated 3 units upward} \end{aligned} $$

Moved 2 units right and 3 unit upwards from the origin

Moved 2 units left and 3 unit downwards from the origin

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QUESTION IMAGE

Question

Explanation:

Identify the parent function and given function

Determine the horizontal and vertical translations

Answer: