2. A parabola whose focus is at the point (2,0), has a directrix whose equation is x = 6. For this parabola the vertex is no longer at (0,0). Use the equation: (y- k)2 = -4a(x – h) where: h & k are the coordinates of the Vertex, a is the focal length and of course 4a is the Length of the Latus Rectum and x & y are coordinates of a point on the parabola. Find the following: a) The focal length or a. b) The coordinates of the vertex c) The length of the Latus Rectum d) The endpoints of the Latus Rectum e) The equation of the parabola f) Sketch of the Graph including the Directrix

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. A parabola whose focus is at the point (2,0), has a
directrix whose equation is x = 6. For this parabola
the vertex is no longer at (0,0). Use the equation:
(y - k)? = -4a(x – h) where: h & k are the
coordinates of the Vertex, a is the focal length and
of course 4a is the Length of the Latus Rectum and
x & y are coordinates of a point on the parabola.
Find the following:
a) The focal length or a.
b) The coordinates of the vertex
c) The length of the Latus Rectum
d) The endpoints of the Latus Rectum
e) The equation of the parabola
f) Sketch of the Graph including the Directrix
Transcribed Image Text:2. A parabola whose focus is at the point (2,0), has a directrix whose equation is x = 6. For this parabola the vertex is no longer at (0,0). Use the equation: (y - k)? = -4a(x – h) where: h & k are the coordinates of the Vertex, a is the focal length and of course 4a is the Length of the Latus Rectum and x & y are coordinates of a point on the parabola. Find the following: a) The focal length or a. b) The coordinates of the vertex c) The length of the Latus Rectum d) The endpoints of the Latus Rectum e) The equation of the parabola f) Sketch of the Graph including the Directrix
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