Home > A2C > Chapter 11 > Lesson 11.3.4 > Problem11-165

11-165.

Create an equation and its corresponding graph (in any order) for each of the following conic sections.

For the following problems, use the general equation $Ax^{2} + By^{2} + Dx + Ey + F = 0$. Reminder: Uncheck the example before moving on to the next question.

1. Circle

In a circle with the center at $\left(0, 0\right)$, $A = B$, and $D = E = 0$, and $F \lt 0$.

1. Line

In a linear equation, $A = B = 0$.

1. Parabola

In a sleeping parabola, $A = 0$ and $B ≠ 0$.

1. Hyperbola

In a horizontal hyperbola, $A \gt 0$,$B \lt 0$, and $F \lt 0$.

1. Ellipse

In an ellipse, $D = 0$, $E = 0$, $A ≠ 0$, and $B ≠ 0$.

1. Two intersecting lines

Write the equations of two lines and multiply.