find the general form of the graph of the absolute value function.

$ y = a|x - h| + k $

$ y = a|x - h| - k $

Question

find the general form of the graph of the absolute value function.

$ y = a|x - h| + k $

$ y = a|x - h| - k $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Absolute Value Function", "Absolute Value Transformations" ], "new_concepts": [], "current_concepts": [ "Absolute Value Function", "Absolute Value Transformations" ] } ## Identify the standard form of an absolute value function $$ y = a|x - h| + k $$ ## Match with the given options $$ \begin{aligned} &\text{Option 1: } y = a|x - h| + k \ &\text{Option 2: } y = a|x - h| - k \end{aligned} $$ The standard vertex form representing the general form of an absolute value function is $y = a|x - h| + k$, where $(h, k)$ represents the vertex.

(A) $y = a|x - h| + k$

(B) $y = a|x - h| - k$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Absolute Value Function" ] }

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Question

Explanation:

Identify the standard form of an absolute value function

Match with the given options

Answer: