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 and axis of symmetry $$ \begin{aligned} &\text{Vertex: } (h, k) = (-4, -2) \ &\text{Axis of Symmetry: } x = -4 \end{aligned} $$ ## Find the y-intercept $$ \begin{aligned} &\text{y-intercept: } (0, -6) \text{ or } y = -6 \end{aligned} $$ ## Find the x-intercepts $$ \begin{aligned} &\text{x-intercepts: None (the parabola lies entirely below the x-axis)} \end{aligned} $$ | Feature | Value(s) | |---|---| | **Vertex** | $(-4, -2)$ | | **Axis of Symmetry** | $x = -4$ | | **y-intercept** | $(0, -6)$ | | **x-intercept(s)** | None | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Parabola Vertex" ] }

Feature	Value(s)
Axis of Symmetry	\(x = -4\)
y-intercept	\((0, -6)\)
x-intercept(s)	None

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QUESTION IMAGE

Question

Explanation:

Find the vertex and axis of symmetry

Find the y-intercept

Find the x-intercepts

Answer: