question 6 of 25

what are the coordinates of the vertex of the parabola described by the equation below?

(y = -7(x - 4)^2 - 5)

a. (5, 4)
b. (-4, 5)
c. (-5, -4)
d. (4, -5)

Question

question 6 of 25

what are the coordinates of the vertex of the parabola described by the equation below?

(y = -7(x - 4)^2 - 5)

a. (5, 4)
b. (-4, 5)
c. (-5, -4)
d. (4, -5)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Vertex Form of a Parabola" ], "current_concepts": [ "Parabola Equation", "Vertex Form of a Parabola" ] } ## Identify the vertex form of a parabola $$ y = a(x - h)^2 + k $$ ## Extract the vertex coordinates $$ \begin{aligned} &y = -7(x - 4)^2 - 5\ &h = 4,\quad k = -5\ &\text{Vertex: } (h, k) = (4, -5) \end{aligned} $$ ## Match with the given options $$ \text{Option D: } (4, -5) $$

A. (5, 4)

B. (-4, 5)

C. (-5, -4)

D. (4, -5)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Vertex Form of a Parabola" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the vertex form of a parabola

Extract the vertex coordinates

Match with the given options

Answer: