Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
For the equation of the parabola given in the form (x-h)² = 4p(y-k). (a) Identify the vertex, value of p, focus, and focal diameter of the parabola. (b) Identify the endpoints of the latus rectum. (c) Graph the parabola. (d) Write equations for the directrix and axis of symmetry. Express numbers in exact, simplest form. (x-3)²=-12(y+4)

For the equation of the parabola given in the form (x-h)² = 4p(y-k). (a) Identify the vertex, value of p, focus, and focal diameter of the parabola. (b) Identify the endpoints of the latus rectum. (c) Graph the parabola. (d) Write equations for the directrix and axis of symmetry. Express numbers in exact, simplest form. (x-3)²=-12(y+4)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
For the equation of the parabola given in the form (x-h)² = 4p(y-k). (a) Identify the vertex, value of p, focus, and focal diameter of the parabola. (b) Identify the endpoints of the latus rectum. (c) Graph the parabola. (d) Write equations for the directrix and axis of symmetry. Express numbers in exact, simplest form. (x − 3)² = − 12 (y+4) Part 1 of 4 (a) The vertex is The focus is ( The focal diameter is ■>. unit(s). X
Transcribed Image Text:For the equation of the parabola given in the form (x-h)² = 4p(y-k). (a) Identify the vertex, value of p, focus, and focal diameter of the parabola. (b) Identify the endpoints of the latus rectum. (c) Graph the parabola. (d) Write equations for the directrix and axis of symmetry. Express numbers in exact, simplest form. (x − 3)² = − 12 (y+4) Part 1 of 4 (a) The vertex is The focus is ( The focal diameter is ■>. unit(s). X
Expert Solution
Step 1

Note: As per the honor code, only one question can be solved at a time and up to 3 sub-parts only. Please post other sub-parts separately.

Given- The parabola: x - 32 = -12y + 4

To find- 

  1. The vertex, value of p, focus, and focal diameter of the parabola.
  2. Identify the endpoints of the latus rectum.
  3. Graph the parabola.

 

Concept used- 

The Standard form of parabola with Vertex h, k is given by

x - h2 = 4py - k

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS