The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
Further Explanation:
Given:
Calculation:
The standard form of the parabola is shown below.
Here, the parabola has vertex at and has the symmetry parallel to x-axis and it opens left.
The general form of the parabola can be expressed as follows,
The graph is a downward parabola.
From the graph it has been observed that the vertex of the parabola is
Symmetry of the graph is
The -intercepts of the graph is Therefore, the value of is
The value of is -1 as the graph is a downward parabola.
The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Conic sections
Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.