question 2 of 10

the equation below describes a parabola. if (a) is negative, which way does the parabola open?

(y = ax^2)

a. down
b. left
c. right
d. up

Question

question 2 of 10

the equation below describes a parabola. if (a) is negative, which way does the parabola open?

(y = ax^2)

a. down
b. left
c. right
d. up

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parabola Definition" ], "new_concepts": [], "current_concepts": [ "Parabola Definition", "Parabola Orientation" ] } ## Analyze the standard form of the vertical parabola $$ y = ax^2 $$ ## Determine the direction of opening based on the sign of the coefficient $$ \begin{aligned} &\text{Since } a < 0,\ &\text{the parabola opens downward.} \end{aligned} $$

A. Down

B. Left

C. Right

D. Up

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

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QUESTION IMAGE

Question

Explanation:

Analyze the standard form of the vertical parabola

Determine the direction of opening based on the sign of the coefficient

Answer: