Algebra 2 helpppp?

Question

I have to:
Identify the conic (line , parabola , ellipse , circle , or hyperbola) , rewrite the equation in graphing form , name the center (or vertex) , and graph.

I understand how to graph them. Just not how to change a few of them to graphing form..

2) 6xSQUARED + 6ySQUARED=162

3) (y-4)SQUARED=9(x-4)

8) 5xSQUARED+y+40x+80=0

9) y= -1/2xSQUARED +5x-27/2

Can anyone help ?
Thankss.

Answer 1

2) 6xSQUARED + 6ySQUARED=162

divide by 6 on both sides and you have a circle

3) (y-4)SQUARED=9(x-4)

change this to :
x-4=(1/9)(y-4)² and you have a sideways parabola

8) 5xSQUARED+y+40x+80=0

bring the 5x² +40x +80 to the right, factor out a 5, factor the rest of the right side, and you have a normal parabola.

9) y= -1/2xSQUARED +5x-27/2

factor a 1/2 out of the right side, factor the rest of the right side, and you have a normal parabola.

Hope I helped.

Answer 2

Here's a reminder on HOW to do them:
to put each of them into "graphing form" the key is to get "Y" all by itself on one side of the equals sign.

#9 is already in graphing form.

for the others, first add or subtrack the "X" portions from both sides until it is seperated from the Y component...

#3 is the most difficult, since you have to expand the two squared terms in parenthesis before trying to isolate all the Ys on one side.

I'll help with #3: (but first, recognize that ^2 means to the power of two...(Y-4)^2 = 9(x-4)
so:
(Y-4)(Y-4) = 9X - 36
Y^2 -8Y + 16 = 9X -36
notice that this is the came as
Y^2 - 8Y +C = 0 where C = (52 - 9X)
so, graph it that way.

For all cases, graph it by making a list of X values (0, 1, 2, 3, 4, ...) and then find the Y value for each X....then draw dots on graph paper, then connect the dots, right? (I mean, that's how you were taught, right?)

Good luck! and trust me, it's worth it to keep trying.

Answer 3

Solve your equations for y and then enter them into your graphing calculator. Or graph my hand by finding the slope of the equation of the line.

Answer 4

well you can go to www.hotmath.com and then clic on algebra 2 and then find your book. and find the question. and if it's classwork then it will not help you, but if it shows it's homework, then it will take you step by step through the problem. hope this helps :]]


http://hotmath.com/help/homework/algebra2-library.html