**Determining the Equation of a Parabola**To determine the equation of the parabola with the directrix $ x = 3 $ and focus $ (0, 7) $, consider the following options:1. $ y^3 = 8(x - 5) $2. $ x^2 = 8(y - 5) $3. $ (y - 7)^3 = -6(x - 1.5) $4. $ (x - 7)^2 = -6(y - 1.5) $5. $ (y - 7)^2 = -16x $Select the correct equation from the above options.**Explanation:**The problem involves finding the equation of a parabola given key characteristics, such as its directrix and focus.**Question List Navigation:**Below the question, there is a navigation bar with buttons labeled from 1 to 10 for navigating through different questions, and the current selection is on Question 5. To move to the next question, click the "Next" button on the right side of the navigation bar.**Multiple Choice Format:**The options are formatted in a multiple-choice style, allowing for selection of one correct answer from the provided list.*Note: There are no graphs or diagrams provided in the image.*

Answered: Image /qna-images/answer/3a38a958-2d7d-46b9-acf8-e5f8e777a552.jpg

Determine the equation of the parabola with the directrix z = 3 and focus (0, 7). O y = 8 (z – 5) O 22 = 8 (y – 5) O (v – 7)? = -6 (z – 1.5) O (z - 7)° = -6 (y – 1.5) %3! O (y - 7) - -16z %3D

Determine the equation of the parabola with the directrix z = 3 and focus (0, 7). O y = 8 (z – 5) O 22 = 8 (y – 5) O (v – 7)? = -6 (z – 1.5) O (z - 7)° = -6 (y – 1.5) %3! O (y - 7) - -16z %3D

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

**Determining the Equation of a Parabola**

To determine the equation of the parabola with the directrix $ x = 3 $ and focus $ (0, 7) $, consider the following options:

1. $ y^3 = 8(x - 5) $
2. $ x^2 = 8(y - 5) $
3. $ (y - 7)^3 = -6(x - 1.5) $
4. $ (x - 7)^2 = -6(y - 1.5) $
5. $ (y - 7)^2 = -16x $

Select the correct equation from the above options.

**Explanation:**
The problem involves finding the equation of a parabola given key characteristics, such as its directrix and focus.

**Question List Navigation:**
Below the question, there is a navigation bar with buttons labeled from 1 to 10 for navigating through different questions, and the current selection is on Question 5. To move to the next question, click the "Next" button on the right side of the navigation bar.

**Multiple Choice Format:**
The options are formatted in a multiple-choice style, allowing for selection of one correct answer from the provided list.

*Note: There are no graphs or diagrams provided in the image.*

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