Math Problem Statement
Solution
The graph in the image shows a parabola opening upwards. To find the equation of the axis of symmetry, we need to determine the x-coordinate of the vertex of the parabola. The axis of symmetry is always a vertical line that passes through the vertex.
From the graph, it appears that the vertex is located at . Therefore, the equation of the axis of symmetry is:
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Related Questions:
- What is the vertex form of a parabola and how is it useful in finding the axis of symmetry?
- How can you determine the vertex of a parabola from a quadratic equation?
- What are the steps to graph a parabola if you're only given its equation?
- How does the direction of the parabola (opening up or down) affect its vertex?
- What is the significance of the axis of symmetry in relation to the properties of a parabola?
Tip:
The axis of symmetry is always given by , where is the x-coordinate of the vertex in the vertex form of a quadratic equation: .
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Math Problem Analysis
Mathematical Concepts
Parabola
Axis of Symmetry
Quadratic Graphs
Formulas
x = h, where h is the x-coordinate of the vertex in y = a(x - h)^2 + k
Theorems
The Axis of Symmetry Theorem for Parabolas
Suitable Grade Level
Grades 9-10