Math Problem Statement

What is the equation of the axis of symmetry for the given quadratic graph?

Solution

The graph in the image shows a parabola opening upwards. For any quadratic function in the form y=ax2+bx+cy = ax^2 + bx + c, the axis of symmetry is a vertical line that passes through the vertex of the parabola.

From the graph, we can observe that the vertex is located at the origin (0, 0), which means the parabola's axis of symmetry is the vertical line passing through x=0x = 0.

Answer:

The equation of the axis of symmetry is: x=0x = 0

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Related Questions

  1. How can you identify the vertex of a quadratic function by looking at its equation?
  2. What is the general formula for finding the axis of symmetry in a quadratic function?
  3. How does the value of aa in y=ax2+bx+cy = ax^2 + bx + c affect the orientation of the parabola?
  4. Why is the axis of symmetry always vertical in quadratic functions?
  5. Can a quadratic function have more than one axis of symmetry?

Tip

For any parabola, the axis of symmetry will always pass through its vertex, providing a way to quickly locate this feature from a graph or equation.

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Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Graphs of Parabolas
Axis of Symmetry

Formulas

Axis of symmetry formula x = -b / (2a) for y = ax^2 + bx + c

Theorems

Symmetry in Parabolas

Suitable Grade Level

Grades 9-10