question 3 of 10

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

(x = ay^2)

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

Question

question 3 of 10

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

(x = ay^2)

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

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": [ "Parabola Orientation" ], "current_concepts": [ "Parabola Definition", "Parabola Orientation" ] } ## Identify the form of the parabola equation $$ x = ay^2 $$ ## Determine the axis of symmetry and direction of opening $$ \begin{aligned} &\text{Since } y \text{ is squared, the axis of symmetry is horizontal.}\ &\text{Since } a > 0 \text{ (positive), } x \ge 0 \text{ for all } y.\ &\text{Therefore, the parabola opens to the right.} \end{aligned} $$

A. Right

B. Down

C. Up

D. Left

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

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QUESTION IMAGE

Question

Explanation:

Identify the form of the parabola equation

Determine the axis of symmetry and direction of opening

Answer: