SOLUTION: My question is for hyperbolas, I need to fine the vertecies foci slope and then draw a graph, the problem is i was sick the day my Algebra teachr went through it and my personal o

Question 27826: My question is for hyperbolas,
I need to fine the vertecies foci slope and then draw a graph, the problem is i was sick the day my Algebra teachr went through it and my personal oppinion he should not be teaching math because he doesnt answere my questions! one of the many equations is: (x+6) quantity squared over 25, minus (y+3) quantity squared over 9 quals(=) 1(one) please help me get this stuff!

-Sick and Desperate
Answer by bmauger(101) (Show Source): You can put this solution on YOUR website!

So the major axis (positive value) is x. a = root of 25 = 5, b = root of 9 = 3
approximately 5.830
foci = (k plus/minus c, h) = -6+5.830= (-0.169, -3) and -6-5.830 = (-11.830, -3)
for slope you want b/a and -b/a when x is your major axis or a/b and -a/b when y is your major axis (in other words, whichever value is under the y^2 term should be on top, since (change in y/change in x) is slope. For your problem, the slope will be 5/3 and -5/3. The lines of the asymptotes have the slope 3/5 or -3/5 and go through the point (k, h). The equation for that line is:

For your problem:
and
and
To graph the equation first plot the verticies. Those are the a values (k+a, h) and (k-a, h). This is -6+5=(-1, -3) and -6+5=(-11,-3) Next graph the asymptotes. Then draw a hyperbola that starts at the verticies and fits between the asymptotes approaching them, but not crossing as you go out. (usually teachers just want it to look pretty good and for you to apply the right methods.) Kinda like this:

RELATED QUESTIONS
Hyperbolas again, i need to find the vertecies foci and slope then graph the equation:... (answered by Paul)

I dont get how to find the foci! and i guess it;s crucial for this chapter. hyperbolas... (answered by bmauger)

It's the sick one again, Im in a conic section and it wants me to write and equation for (answered by venugopalramana)

I am doing Linear Programming and need help with finding the vertecies so i can find the... (answered by venugopalramana)

ok. the problem is y=2/3x-2. i need to find the slope, and name the y intercept. then i... (answered by rchill)

I am trying to evaluate Trig Functions determined by a point in Quadrant 1. When the... (answered by stanbon)

How do I properly graph this equation on algebra.com? x-4y=-8 I know that rise=2... (answered by Theo)

Hi, I am studying for a quiz on hyperbolas and one of the problems I am doing is this:... (answered by stanbon)

I was gone when the teacher went over this and I can not understand the book. The... (answered by vleith)