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What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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: \( y = a(x-h)^2 + k \).
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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