Math Problem Statement
Solution
The given quadratic function is .
This is written in vertex form, , where:
- is the vertex of the parabola.
- The axis of symmetry is the vertical line passing through the vertex, which means the equation of the axis of symmetry is .
In this case:
- , so the axis of symmetry is .
Would you like further details or have any questions? Here are some additional questions to expand on this:
- How do you find the vertex of a quadratic function in standard form?
- How does the value of affect the graph of a quadratic function?
- What is the significance of the axis of symmetry in a quadratic function?
- Can the axis of symmetry ever be negative?
- How would you convert a quadratic function from standard form to vertex form?
Tip: The coefficient affects the direction of the parabola (whether it opens up or down) and its width.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Vertex Form
Formulas
y = a(x - h)^2 + k
Theorems
Axis of Symmetry Theorem for Quadratic Functions
Suitable Grade Level
Grades 8-10
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