Question

source
image created for vva via desmos; 2025
\\(x = 0\\)
\\(x = 3\\)
\\(x = -2\\)
\\(x = 2\\)

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Vertex of Parabola",
"Quadratic Functions"
],
"new_concepts": [],
"current_concepts": [
"Vertex of Parabola",
"Quadratic Functions",
"Axis of Symmetry"
]
}
</pre_analysis>

<reasoning>

Identify the vertex of the parabola

\[
(h, k) = (2, -1)
\]

Determine the axis of symmetry

\[
x = h \implies x = 2
\]
</reasoning>

<answer>
<mcq-option>\(x = 0\)</mcq-option>
<mcq-option>\(x = 3\)</mcq-option>
<mcq-option>\(x = -2\)</mcq-option>
<mcq-correct>\(x = 2\)</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Vertex of Parabola"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Vertex of Parabola",
"Quadratic Functions"
],
"new_concepts": [],
"current_concepts": [
"Vertex of Parabola",
"Quadratic Functions",
"Axis of Symmetry"
]
}
</pre_analysis>

<reasoning>

Identify the vertex of the parabola

\[
(h, k) = (2, -1)
\]

Determine the axis of symmetry

\[
x = h \implies x = 2
\]
</reasoning>

<answer>
<mcq-option>\(x = 0\)</mcq-option>
<mcq-option>\(x = 3\)</mcq-option>
<mcq-option>\(x = -2\)</mcq-option>
<mcq-correct>\(x = 2\)</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Vertex of Parabola"
]
}
</post_analysis>