Parametric Rectangular Equations & Focus Coordinates Watch

Multifine
Badges: 9
Rep:
?
#1
Report Thread starter 1 month ago
#1
The question: Eliminate the parameter and find the corresponding rectangular equation for the set of parametric equations
x = 3 - t^2
y = t + 2
and find the coordinates of the focus of the resulting curve.

*****

So far, I’ve got:
x = 3 - (y-2)^2 and that takes care of the elimination/rectangular equation part.

How do I go about the second part to find the coordinates of the focus? What would the equation of the curve be from the rectangular equation I’ve found?
0
reply
mqb2766
Badges: 17
Rep:
?
#2
Report 1 month ago
#2
(Original post by Multifine)
The question: Eliminate the parameter and find the corresponding rectangular equation for the set of parametric equations
x = 3 - t^2
y = t + 2
and find the coordinates of the focus of the resulting curve.

*****

So far, I’ve got:
x = 3 - (y-2)^2 and that takes care of the elimination/rectangular equation part.

How do I go about the second part to find the coordinates of the focus? What would the equation of the curve be from the rectangular equation I’ve found?
The curve is a parabola (horizontal axis of symmetry) and its in "complete the square" form already, so the focus can be written down
https://www.varsitytutors.com/hotmat...-of-a-parabola
or you may have to derive based on what you've done/know?
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • SOAS University of London
    Development Studies, Interdisciplinary Studies, Anthropology and Sociology, Languages, Cultures and Linguistics, Arts, Economics, Law, History, Religions and Philosophies, Politics and International Studies, Finance and Management, East Asian Languages & Cultures Postgraduate
    Sat, 25 Jan '20
  • University of Huddersfield
    Undergraduate Open Day Undergraduate
    Sat, 25 Jan '20
  • The University of Law
    Solicitor Series: Assessing Trainee Skills – LPC, GDL and MA Law - Guildford campus Postgraduate
    Wed, 29 Jan '20

How many uni open days have you been to/did you go to?

0 (128)
27.71%
1 (69)
14.94%
2 (71)
15.37%
3 (74)
16.02%
4 (37)
8.01%
5 (30)
6.49%
6 (17)
3.68%
7+ (36)
7.79%

Watched Threads

View All
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise