{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Stitz-Zeager_College_Algebra_e-book

# To that end we recall that a2 b2 c2 so b2 c2 a2 25

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: is squared, we can attempt to put the equation into a standard form using the following steps. To Write the Equation of a Parabola in Standard Form 1. Group the variable which is squared on one side of the equation and position the non-squared variable and the constant on the other side. 2. Complete the square if necessary and divide by the coeﬃcient of the perfect square. 3. Factor out the coeﬃcient of the non-squared variable from it and the constant. 412 Hooked on Conics Example 7.3.4. Consider the equation y 2 + 4y + 8x = 4. Put this equation into standard form and graph the parabola. Find the vertex, focus, and directrix. Solution. We need to get a perfect square (in this case, using y ) on the left-hand side of the equation and factor out the coeﬃcient of the non-squared variable (in this case, the x) on the other. y 2 + 4y + 8x y 2 + 4y y 2 + 4y + 4 (y + 2)2 (y + 2)2 = = = = = 4 −8x + 4 −8x + 4 + 4 complete the square in y only −8x + 8 factor −8(x − 1) Now that the equation is in the form given in Equation 7.3, we see that x − h is x − 1 so h = 1, and y − k is y + 2 so k = −2. Hence, the vertex is (1,...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern