Consider the equations below and complete the following: Before completing any calculations, consider the equation and write

Question

Consider the equations below and complete the following:
Before completing any calculations, consider the equation and write down an educated guess
as to which type of conic section is represented. Explain briefly how you made your prediction.
Complete the square to rearrange each equation into standard form and identify the conic
section.
Compare the equation in standard form to the original version. Look closely at the coefficients of
each term (specifically which terms are positive or negative). Is there anything you notice that is
similar between the two equations? How can this help you to identify conic sections that are not
in standard form?
a. x² + y² + 6x - 4y - 15 = 0
b. 49x² + 196x + 4y² - 40y + 100 = 0
c. x² - y² - 2x - 8=0

Kunduz · Accepted Answer

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