
To explain: The comparison between the graphs and equations of four type of conics.

Explanation of Solution
Given information: The four type of conic.
Consider the four type of conic as
Both circle and ellipse are enclosed region while parabola and hyperbola are not.
The coordinates of and ellipse and a circle have an upper and lower limit while maximum x and y value for the coordinate of hyperbola are infinite.
An ellipse can be considered as a flattened circle.
A parabola has one branch while is a smooth curve that never ends while a hyperbola has two such branches that are reflections of each other.
The equation of standard conic is
The equation of parabola consist of only one square term.
The equation of circle consisist of two square terms.
The equation of ellipse consist of both squared terms x and y with same sign but with different coefficient.
The equation of hyperbola consist of both squared terms x and y with opposite sign.
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