find the vertex of the absolute value function $y = |x + 1| - 4$.

a. $(1, 4)$
b. $(-1, -4)$
c. $(-1, 4)$
d. $(1, -4)$

Question

find the vertex of the absolute value function $y = |x + 1| - 4$.

a. $(1, 4)$
b. $(-1, -4)$
c. $(-1, 4)$
d. $(1, -4)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Absolute Value Function" ], "new_concepts": [], "current_concepts": [ "Absolute Value Function", "Function Transformations" ] } ## Identify the standard vertex form $$ y = a|x - h| + k $$ ## Match the given function parameters $$ \begin{aligned} &y = |x + 1| - 4 \ &y = 1|x - (-1)| + (-4) \ &h = -1, \quad k = -4 \end{aligned} $$ ## Determine the vertex coordinates $$ (h, k) = (-1, -4) $$

a. (1, 4)

b. (-1, -4)

c. (-1, 4)

d. (1, -4)

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QUESTION IMAGE

Question

Explanation:

Identify the standard vertex form

Match the given function parameters

Determine the vertex coordinates

Answer: