question 4 of 10

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

\x = ay^2\

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

Question

question 4 of 10

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

\x = ay^2\

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

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Parabola Orientation" ], "new_concepts": [], "current_concepts": [ "Parabola Orientation", "Parabola Definition" ] } ## Analyze the form of the parabola equation $$ x = ay^2 $$ ## Determine the orientation based on the sign of the coefficient $$ \begin{aligned} &\text{Since } y \text{ is squared, the parabola opens horizontally (left or right).}\ &\text{Given } a < 0 \text{, the } x\text{-values must be non-positive } (x \le 0).\ &\text{Therefore, the parabola opens to the left.} \end{aligned} $$

A. Up

B. Left

C. Down

D. Right

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QUESTION IMAGE

Question

Explanation:

Analyze the form of the parabola equation

Determine the orientation based on the sign of the coefficient

Answer: