The vertex of a parabola is at (h, k). If the parabola passes through the points (1, 6) and (5, 6), and its axis of symmetry is vertical, what is the value of h?
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the axis of symmetry of a parabola and how it relates to the vertex. The axis of symmetry is a vertical line passing through the vertex, and it is equidistant from any two symmetric points on the parabola.
Key Concept Explanation
The axis of symmetry of a parabola is a vertical line that passes through the vertex. For a parabola that is symmetric about the y-axis, the x-coordinate of the vertex (h) is the midpoint of the x-coordinates of any two symmetric points. The formula for the axis of symmetry is , where is the x-coordinate of the vertex.
Step-by-step Solution
1. Identify the given points: and
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.