What is the axis of symmetry and vertex for the graph #y=-¼x^2-2x-6#?
2 Answers
(1) : The Axis of symmetry is the line #x+4=0, and,
(2) : The Vertex is
Explanation:
The given eqn. is,
and completing the square of the R.H.S., we have,
Shifting the Origin to the point
Then,
We know that, for
the lines
Returning back to the original
(1) : The Axis of symmetry is the line #x+4=0, and,
(2) : The Vertex is
Axis of symmetry:
Vertex:
Explanation:
Given:
where:
Axis of Symmetry: the vertical line that divides the parabola into two equal halves, and the
In standard form, the axis of symmetry
Simplify.
Multiply by the reciprocal of
Simplify.
Vertex: maximum or minimum point of a parabola.
Substitute
Simplify.
Vertex:
graph{-1/4x^2-2x-6 [-12.71, 12.6, -10.23, 2.43]}