what are the factors of the function represented by this graph?

$(x - 4)$ and $(x - 8)$
$(x - 4)$ and $(x + 8)$
$(x + 4)$ and $(x - 8)$
$(x + 4)$ and $(x + 8)$

Question

what are the factors of the function represented by this graph?

$(x - 4)$ and $(x - 8)$
$(x - 4)$ and $(x + 8)$
$(x + 4)$ and $(x - 8)$
$(x + 4)$ and $(x + 8)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Zeros and Factors", "Parabola Key Features" ], "new_concepts": [], "current_concepts": [ "Zeros and Factors", "Parabola Key Features" ] } ## Identify the x-intercepts from the graph $$ x_1 = -4,\quad x_2 = 8 $$ ## Relate the zeros to their corresponding factors $$ \begin{aligned} x = -4 &\implies (x + 4) = 0 \ x = 8 &\implies (x - 8) = 0 \end{aligned} $$ ## Match with the given options $$ \text{Factors: } (x + 4) \text{ and } (x - 8) $$

(A) $(x - 4)$ and $(x - 8)$

(B) $(x - 4)$ and $(x + 8)$

(C) $(x + 4)$ and $(x - 8)$

(D) $(x + 4)$ and $(x + 8)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Zeros and Factors" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the x-intercepts from the graph

Relate the zeros to their corresponding factors

Match with the given options

Answer: