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Q: Which point or line is the cubic parent function symmetric?
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How to calculate cubic function using point of inflection and extrema?

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Is a circle symmetric with respect to x-axis on a graph?

Any point on the graph can be the center of a circle. If the center is on the x-axis, then the circle is symmetric with respect to the x-axis.


Does a line have infinite lines of symmetry?

Yes, it is symmetric about a line perpendicular to it at any point.


Which functions have graphs that are a symmetrical with respect to the origin?

The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.


How is the function differentiable in graph?

If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.


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The point group for Al2Cl6 is (D_{3h}). It consists of two Al atoms and six Cl atoms arranged in a symmetric manner with a trigonal prismatic geometry.


The depth of a lake at a center point which is a function of the distance of that point from shore?

The depth of a lake at a center point is a function of the distance of that point from shore.


What is the zero of a function and how does it relate to the functions graph?

A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.


What do you know about a function that is made up of ordered pairs in such a way that the same y-value appears in a correspondence with two different x-values?

For example, y = ax2 + bx + c (the equation of a parabola). Every parabola has an axis of symmetry and the graph to either side of the axis of symmetry is a mirror image of the other side. It means that if we know a point on one side of the parabola, we can find its symmetric point to the other side, based on the axis of symmetry. Those symmetric points have opposite x-coordinate values, and the same y-coordinate value. The vertex only is a single point which lies on the axis of symmetry.


Does cubic function have vertex?

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How do you solve y equals 2x squared plus 1?

The solution comprises every point on a parabola which is symmetric about the y axis and has its apex at (0,1).