question 5 of 10

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

(y = ax^2)

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

Question

question 5 of 10

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

(y = ax^2)

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

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parabola Orientation" ], "new_concepts": [], "current_concepts": [ "Parabola Orientation", "Parabola Definition" ] } ## Analyze the standard form of the parabola $$ y = ax^2 $$ ## Determine the direction of opening based on the coefficient $$ \begin{aligned} &\text{Since the equation is of the form } y = ax^2, \text{ the parabola opens vertically (up or down).}\ &\text{Given } a > 0, \text{ the parabola opens upward.} \end{aligned} $$

A. Up

B. Left

C. Right

D. Down

{ "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 parabola

Determine the direction of opening based on the coefficient

Answer: