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Concept explainers
Find the axis of symmetry, coordinate of vertex, graph each function and identify the vertex as a maximum or minimum.
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Answer to Problem 52SR
Axis of symmetry is
Coordinate of vertex is
The graph opens down and the vertex is a maximum.
Explanation of Solution
Given:
The quadratic equation:
Concept Used:
A parabola is a curve where any point is at an equal distance from: a fixed point (the focus), and a fixed straight line (the directrix)
- The axis of symmetry (goes through the focus, at right angles to the directrix)
- The vertex (where the parabola makes its sharpest turn) is halfway between the focus and directrix.
![]() |
Calculation:
Axis of symmetry is Find the coordinate of the vertex: Coordinate of vertex is The equation is in standard form and a is negative, the graph opens down and the vertex is a maximum | ![]() |
Thus, Axis of symmetry is
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