College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section: Chapter Questions
Problem 4T
Related questions
Question
Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its graph.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given:
The equation of the parabola is,
The above equation can be converted into vertex form as,
The vertex form of a parabola whose vertex with concave up and axis parallel to -axis is given as,
Step 2
On comparing equation (1) and (2),
Therefore, the vertex of the given parabola is at
From the vertex form , the coordinates of the focus is at
Hence, the focus of the parabola is at
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