# Thread: Parabola, Elipses, Hyperbola help?

1. ## Parabola, Elipses, Hyperbola help?

Hey. I have a math quiz tomorrow, and am working on a worksheet with 20 problems. I'm not sure I understand these problems, so if possible can someone please possibily solve these samples? I was absent, and am totally loss.

1. Find standard form for parabola:
Foci(4,-1) directrix: y= 3

2. Elipses:
(x+4)^2/ 9 + (y-3)^2/ 36= 1.
Find vertices, foci, length of major and minor axis.

3. Hyperbolas:
4x^2 - 6y^2 - 24y+ 8x - 12= 0
State center, vericies, and foci.

Basically, each of these 3 types are the kinds I'll be expected to know how to solve on the quiz tomorrow. I need samples done, so I can understand the processes. At the moment I'm clueless as to how to solve them. Any and all help will be appreciated!

~ Dracos

2. Hello Dracos

Welcome to Math Help Forum!
Originally Posted by Dracos
Hey. I have a math quiz tomorrow, and am working on a worksheet with 20 problems. I'm not sure I understand these problems, so if possible can someone please possibily solve these samples? I was absent, and am totally loss.

1. Find standard form for parabola:
Foci(4,-1) directrix: y= 3

2. Elipses:
(x+4)^2/ 9 + (y-3)^2/ 36= 1.
Find vertices, foci, length of major and minor axis.

3. Hyperbolas:
4x^2 - 6y^2 - 24y+ 8x - 12= 0
State center, vericies, and foci.

Basically, each of these 3 types are the kinds I'll be expected to know how to solve on the quiz tomorrow. I need samples done, so I can understand the processes. At the moment I'm clueless as to how to solve them. Any and all help will be appreciated!

~ Dracos
For help on the parabola, you could look here.

For the ellipse, this is not bad.

For the hyperbola, you need to complete the square:
$\displaystyle 4(x^2+2x+1)-6(y^2+4y+4)+8=0$
before re-writing in its standard form:
$\displaystyle \frac{(y+2)^2}{\tfrac43}-\frac{(x+1)^2}{2}=1$
and then look here.