How can you distinguish parabolas from other conic sections by looking at their equations without an 𝑥𝑦−term?Group of answer choicesIn equations for​ parabolas, 𝑥 and 𝑦 are both squared and the coefficients on them are the​ same, including the sign.In equations for​ parabolas,  𝑥 and 𝑦 are both​ squared, and exactly one of the coefficients is negative and exactly one of the coefficients is positive.In equations for​ parabolas, 𝑥 and 𝑦 are both​ squared, and the coefficients are​ positive but different.In equations for​ parabolas, either 𝑥 and 𝑦 is​ squared, but not both.

A nondegenerate conic section in the form 𝐴𝑥2+𝐶𝑦2+𝐷𝑥+𝐸𝑦+𝐹=0, in which 𝐴 and 𝐶 are not both​ zero, is​ a/an _________ if 𝐴=𝐶, ​a/an ________ if 𝐴𝐶=0,​ a/an _________ if 𝐴≠𝐶 and 𝐴𝐶>0, and​ a/an ________ if 𝐴𝐶<0.Group of answer choiceshyperbola; circle; parabola; ellipsecircle; parabola; ellipse; hyperbolaellipse; hyperbola; circle; parabolaparabola; ellipse; hyperbola; circle

Given the equation, 6𝑥2 + 24𝑦2 = 24, explain how you would determine which of the four conic sectionsit is based on its equation.3. Explain what happens if the equation is changed to 6𝑥2 − 24𝑦2 = 24 .

Find the vertex of the parabola:  𝑓(𝑥)=−3𝑥2−36𝑥−4   𝑥= 𝑦=

A parabola is the set of all points that:

The point, line, and pair of intersecting lines are special types of conic sections.A.TrueB.False