find the equation of the axis of symmetry for the parabola $y = x^2 - 7$.

simplify any numbers and write them as proper fractions, improper fractions, or integers.

Question

find the equation of the axis of symmetry for the parabola $y = x^2 - 7$.

simplify any numbers and write them as proper fractions, improper fractions, or integers.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Axis of Symmetry", "Parabola Vertex Form" ], "current_concepts": [ "Axis of Symmetry", "Parabola Vertex Form", "Quadratic Functions" ] } ## Identify the quadratic coefficients $$ \begin{aligned} &y = ax^2 + bx + c \ &y = x^2 - 7 \ &a = 1, \quad b = 0, \quad c = -7 \end{aligned} $$ ## Calculate the axis of symmetry $$ \begin{aligned} &x = -\frac{b}{2a} \ &x = -\frac{0}{2(1)} \ &x = 0 \end{aligned} $$ Find the equation of the axis of symmetry for the parabola $y = x^2 - 7$. Simplify any numbers and write them as proper fractions, improper fractions, or integers. $x = 0$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Axis of Symmetry" ] }

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Question

Explanation:

Identify the quadratic coefficients

Calculate the axis of symmetry

Answer: