Yes
Yes, but a parabola, itself, can have only a vertical line of symmetry.
Yes, it does.
The shape of the graph of the quadratic function ( y = ax^2 ) is a parabola. If the coefficient ( a ) is positive, the parabola opens upwards, while if ( a ) is negative, it opens downwards. The vertex of the parabola is its highest or lowest point, depending on the direction it opens. The axis of symmetry is the vertical line that passes through the vertex, dividing the parabola into two mirror-image halves.
the axis of symmetry
A parabola is a curved shape that is plotted on the Cartesian plane.
The line of symmetry located on a parabola is right down the center. A parabola is a U shape. Depending on the direction of the parabola it either has a x axis of symmetry or y axis of symmetry. You should have two equal sides of the parabola.
Yes, but a parabola, itself, can have only a vertical line of symmetry.
Its extremum is on its axis of symmetry.
Yes, it does.
Parallel to the y-axis, going through the highest/lowest point of the parabola (if the parabola is negative/positive, respectively).
Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.
Did you mean a parabola with equation y=3x^2? The line of symmetry is x=0 or the y-axis.
There's the vertex (turning point), axis of symmetry, the roots, the maximum or minimum, and of course the parabola which is the curve.
the axis of symmetry
The axis of symmetry is x = -2.
A parabola is a curved shape that is plotted on the Cartesian plane.
No it is a shape, but the shape has symmetry.