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1) The general form of a particular ellipse is show Below. If the conic is translated 2 units left and 1 unit down, determine the new general term.

2x

^{2}+y

^{2}-2x+3y-9=0

Solution,

i figureed that we will have to convert this to Sandard form so we can apply the Trans;ations.

2x^{2}-2x y^{2}-3y=0

Then we need to complete the squares

2(x^{2}-x+[tex]\frac{1}{4}[/tex]) + (y^{2}-3y+[tex]\frac{9}{4}[/tex])=9+1/2+9/4

When i divided the whole thing by 11.75 so i can get 1 on the Right hand side, a fractions come up on the right hand side, and i just can't get it to the Standard form of the elipse

2) Find the equation of a hyperbola in standard form or general form, that has its centre at (-2, 5), one vertex at (-2, 10), and the slope of one of its asymptotes is 5/4 .

Solution:

I drew the Hyperbola so i can imagine it, and i guessed that a = 5 since the center point is at (-2,5) and the Vertex is at (-2,10)

The slops are b/a and -b/a

So it should be b/5 not b/4

aint what am saying right ?