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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "y-intercept" ], "current_concepts": [ "y-intercept", "Quadratic Equations" ] } ## Definir la condición del intercepto en y Para encontrar el intercepto en $y$, se evalúa la ecuación en $x = 0$. ## Sustituir x = 0 en la ecuación dada $$ \begin{aligned} y &= (4(0) + 12)(2(0) + 8) \ y &= (12)(8) \ y &= 96 \end{aligned} $$ ## Escribir el intercepto como un punto coordenado $$ (x, y) = (0, 96) $$

A $(0, -96)$

B $(0, 96)$

C $(3, 0)$ and $(-4, 0)$

D $(-3, 0)$ and $(-4, 0)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "y-intercept" ] }

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Explanation:

Definir la condición del intercepto en y

Sustituir x = 0 en la ecuación dada

Escribir el intercepto como un punto coordenado

Answer: