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 $$ \text{Vertex} = (-2, 4) $$ ## Identify the x-intercept(s) and y-intercept(s) $$ \begin{aligned} &\text{x-intercept(s)} = -6, 2\ &\text{y-intercept(s)} = 3 \end{aligned} $$ ## Identify the equation of the axis of symmetry $$ x = -2 $$ | Feature | Value(s) | |---|---| | Vertex | $(-2, 4)$ | | $x$-intercept(s) | $-6, 2$ | | $y$-intercept(s) | $3$ | | Axis of symmetry | $x = -2$ | { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Parabola Vertex" ] }

Feature	Value(s)
\(x\)-intercept(s)	\(-6, 2\)
\(y\)-intercept(s)	\(3\)
Axis of symmetry	\(x = -2\)

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QUESTION IMAGE

Question

Explanation:

Identify the vertex from the graph

Identify the x-intercept(s) and y-intercept(s)

Identify the equation of the axis of symmetry

Answer: