What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x = -3? Identify the vertex and the equation of the axis of symmetry for the parabola.
What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x = -3? Identify the vertex and the equation of the axis of symmetry for the parabola.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 5SC
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Question
![What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix
x = -3? Identify the vertex and the equation of the axis of symmetry for the parabola.
I14
+13
+12
+11 Р(х, у )
+10
+9
-7
-6
• F(1, 5 )
5
.4
X =-3
-6
8.
+-2
+-3
-4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf8cb330-764f-4e56-a15c-0f2d77d2bc9a%2Fa31d9501-223e-4f51-9085-7ecb6172836b%2F4a3u4qi_processed.png&w=3840&q=75)
Transcribed Image Text:What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix
x = -3? Identify the vertex and the equation of the axis of symmetry for the parabola.
I14
+13
+12
+11 Р(х, у )
+10
+9
-7
-6
• F(1, 5 )
5
.4
X =-3
-6
8.
+-2
+-3
-4
![(y – 5)2 – 1; vertex (-1, 5); axis of symmetry is y = 5
O x
O x = (y+ 5)² + 2: vertex (5, –1); axis of symmetry is = -3
i (y + 2)2 – 5: vertex (-2, –5): axis of symmetry is y = 2
- (y – 5)2 – 1; vertex (-1, 5): axis of symmetry is y = 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf8cb330-764f-4e56-a15c-0f2d77d2bc9a%2Fa31d9501-223e-4f51-9085-7ecb6172836b%2Fi8f1yfi_processed.png&w=3840&q=75)
Transcribed Image Text:(y – 5)2 – 1; vertex (-1, 5); axis of symmetry is y = 5
O x
O x = (y+ 5)² + 2: vertex (5, –1); axis of symmetry is = -3
i (y + 2)2 – 5: vertex (-2, –5): axis of symmetry is y = 2
- (y – 5)2 – 1; vertex (-1, 5): axis of symmetry is y = 5
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