question 5 of 10

the vertex of this parabola is at (-3, 6). which of the following could be its equation?

a. (y = -3(x + 3)^2 - 6)
b. (y = -3(x - 3)^2 - 6)
c. (y = -3(x - 3)^2 + 6)
d. (y = -3(x + 3)^2 + 6)

Question

question 5 of 10

the vertex of this parabola is at (-3, 6). which of the following could be its equation?

a. (y = -3(x + 3)^2 - 6)
b. (y = -3(x - 3)^2 - 6)
c. (y = -3(x - 3)^2 + 6)
d. (y = -3(x + 3)^2 + 6)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parabola Vertex Form" ], "new_concepts": [], "current_concepts": [ "Parabola Vertex Form", "Parabola Orientation" ] } ## Identify the vertex form equation of a parabola $$ y = a(x - h)^2 + k $$ ## Substitute the given vertex coordinates $$ \begin{aligned} (h, k) &= (-3, 6) \ y &= a(x - (-3))^2 + 6 \ y &= a(x + 3)^2 + 6 \end{aligned} $$ ## Match with the given options $$ \begin{aligned} a &= -3 \ y &= -3(x + 3)^2 + 6 \end{aligned} $$

A. $y = -3(x + 3)^2 - 6$

B. $y = -3(x - 3)^2 - 6$

C. $y = -3(x - 3)^2 + 6$

D. $y = -3(x + 3)^2 + 6$

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

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QUESTION IMAGE

Question

Explanation:

Identify the vertex form equation of a parabola

Substitute the given vertex coordinates

Match with the given options

Answer: