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" ] } ## Find the vertex from the graph $$ \text{Vertex} = (2, -1) $$ ## Find the x-intercepts and y-intercept $$ \begin{aligned} &\text{x-intercepts} = (1, 0) \text{ and } (3, 0)\ &\text{y-intercept} = (0, 3) \end{aligned} $$ ## Find the axis of symmetry $$ x = 2 $$ | Feature | Value(s) | | :--- | :--- | | **Vertex** | $(2, -1)$ | | **$x$-intercept(s)** | $(1, 0), (3, 0)$ | | **$y$-intercept** | $(0, 3)$ | | **Axis of Symmetry** | $x = 2$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Parabola Vertex" ] }

Feature	Value(s)
\(x\)-intercept(s)	\((1, 0), (3, 0)\)
\(y\)-intercept	\((0, 3)\)
Axis of Symmetry	\(x = 2\)

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QUESTION IMAGE

Question

Explanation:

Find the vertex from the graph

Find the x-intercepts and y-intercept

Find the axis of symmetry

Answer: