polynomial and rational functions
finding the vertex, intercepts, and axis of symmetry from the graph of a...
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(d): your answer is incorrect.
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 and axis of symmetry $$ \begin{aligned} &\text{Vertex } (h, k) = (2, 9)\ &\text{Axis of Symmetry: } x = 2 \end{aligned} $$ ## Find the x-intercepts $$ \begin{aligned} &\text{Points where the graph crosses the } x\text{-axis:}\ &x = -1 \quad \text{and} \quad x = 5\ &\text{As coordinates: } (-1, 0), (5, 0) \end{aligned} $$ ## Find the y-intercept $$ \begin{aligned} &\text{Point where the graph crosses the } y\text{-axis:}\ &y = 8\ &\text{As coordinates: } (0, 8) \end{aligned} $$ - **Vertex:** $(2, 9)$ - **Axis of symmetry:** $x = 2$ - **$x$-intercepts:** $-1$ and $5$ (or as points: $(-1, 0)$ and $(5, 0)$) - **$y$-intercept:** $8$ (or as a point: $(0, 8)$) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Parabola Intercepts" ] }

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Question

Explanation:

Find the vertex and axis of symmetry

Find the x-intercepts

Find the y-intercept

Answer: