Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 13T
Related questions
Question
What is the equation of a parabola in vertex form with vertex (–5, –9) and directrix y=-13?
![### Question 11
What is the equation of a parabola in vertex form with **vertex** \((-5, -9)\) and **directrix** \( y = -13 \)?
#### Options:
A) \( y = \frac{1}{8}(x+5)^2 - 9 \)
B) \( y = \frac{1}{4}(x+5)^2 - 9 \)
C) \( y = (x+5)^2 - 9 \)
D) \( y = \frac{1}{16}(x+5)^2 - 9 \)
---
This question involves finding the correct equation of a parabola based on given vertex and directrix coordinates. The answer choices include different coefficients inside the vertex form formula: \( y = a(x-h)^2 + k \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54f1e0b6-1968-49a8-ad8c-1134cba15596%2F13168be3-f0bf-48ee-8d6b-a3fe0ccf5d0a%2Fzkqcwir_processed.png&w=3840&q=75)
Transcribed Image Text:### Question 11
What is the equation of a parabola in vertex form with **vertex** \((-5, -9)\) and **directrix** \( y = -13 \)?
#### Options:
A) \( y = \frac{1}{8}(x+5)^2 - 9 \)
B) \( y = \frac{1}{4}(x+5)^2 - 9 \)
C) \( y = (x+5)^2 - 9 \)
D) \( y = \frac{1}{16}(x+5)^2 - 9 \)
---
This question involves finding the correct equation of a parabola based on given vertex and directrix coordinates. The answer choices include different coefficients inside the vertex form formula: \( y = a(x-h)^2 + k \).
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