What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrixx = -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 )5.4X =-3-68.+-2+-3-4 (y – 5)2 – 1; vertex (-1, 5); axis of symmetry is y = 5O xO x = (y+ 5)² + 2: vertex (5, –1); axis of symmetry is = -3i (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

Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

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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

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 14T

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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

(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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