Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![**Question:**
What is the standard form of the parabola, \( y^2 + 2x + 10y + 9 = 0 \), given in conic form?
**Explanation:**
The question asks for the standard form of a parabolic equation that is currently given in the general conic form. The equation provided is:
\[ y^2 + 2x + 10y + 9 = 0 \]
To convert this into standard form, you would typically complete the square for the \( y \) terms and rearrange the equation. The standard form of a parabola that opens sideways is typically written as:
\[ (y - k)^2 = 4p(x - h) \]
Where \( (h, k) \) is the vertex of the parabola and \( p \) determines the distance from the vertex to the focus.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4fc2e71a-f919-4343-a802-b0b3a993ccc4%2F1251e6d6-a3af-43e1-a50e-681ebedc359d%2Flok9v7_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
What is the standard form of the parabola, \( y^2 + 2x + 10y + 9 = 0 \), given in conic form?
**Explanation:**
The question asks for the standard form of a parabolic equation that is currently given in the general conic form. The equation provided is:
\[ y^2 + 2x + 10y + 9 = 0 \]
To convert this into standard form, you would typically complete the square for the \( y \) terms and rearrange the equation. The standard form of a parabola that opens sideways is typically written as:
\[ (y - k)^2 = 4p(x - h) \]
Where \( (h, k) \) is the vertex of the parabola and \( p \) determines the distance from the vertex to the focus.
Expert Solution
Step 1
Do some rearrangement in the equation of given conic to convert it in standard form of equation
Step by step
Solved in 2 steps with 1 images
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