Assignment Problem: How can factoring help me graph hyperbolas?
READ: Basic information about the different conic sections.
The general equation for any conic section is given by: Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. Thus, the equations for all conic sections are similar. However, if the value of B2 - 4AC > 0, then the conic section is a hyperbola. The equation of a conic section representing a hyperbola can also be identified using the factor test.
In particular, familiarize yourself with the difference of two square method: a2 - b2 = (a - b)(a + b).
Quadratic equations by using the Zero-Product Property. This property states that if the product of two factors is zero, then one or more of the factors must be zero. In other words: if ab = 0 then a = 0 or b = o or both a and b = 0.
Question: Complete the Hyperbolas, Asymptotes & Factoring Handout. Be sure to answer each question completely and don't forget to show work.