polynomial and rational functions
finding the vertex, intercepts, and axis of symmetry from the graph of a...
use the graph of the parabola to fill in the table.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parabola Vertex", "Parabola Intercepts", "Axis of Symmetry" ], "new_concepts": [], "current_concepts": [ "Parabola Vertex", "Parabola Intercepts", "Axis of Symmetry" ] } ## Identify the vertex from the graph $$ \text{Vertex} = (-3, -2) $$ ## Identify the axis of symmetry $$ x = -3 $$ ## Identify the x-intercepts and y-intercept $$ \begin{aligned} &\text{x-intercepts: None} \ &\text{y-intercept: } (0, -11) \end{aligned} $$ | Feature | Value | |---|---| | Vertex | $(-3, -2)$ | | Axis of Symmetry | $x = -3$ | | $x$-intercept(s) | None | | $y$-intercept | $(0, -11)$ | { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Parabola Vertex" ] }

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Question

Explanation:

Identify the vertex from the graph

Identify the axis of symmetry

Identify the x-intercepts and y-intercept

Answer:

Feature	Value
Axis of Symmetry	\(x = -3\)
\(x\)-intercept(s)	None
\(y\)-intercept	\((0, -11)\)