Classify the conic section and write its equation in standard form.
1.) y^2 - 8y - 8x = -24
2.) x^2 + y^2- 4x + 2y - 11 = 0
3). 4x^2 + y^2 - 8x - 8 = 0
4) 4x^2 - 25y^2 - 100y = 0
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OpenStudy (anonymous):
Someone help me please!
OpenStudy (turingtest):
Here's a start: Complete the square for all quadratic terms and factor when possible, the forms should be more obvious after that.
OpenStudy (2bornot2b):
I have a notes on this topic. But it would help if you let me know, about your current level of education
OpenStudy (anonymous):
11th grade, Algebra
OpenStudy (2bornot2b):
Ok then hold on..
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OpenStudy (2bornot2b):
OpenStudy (2bornot2b):
OpenStudy (anonymous):
No, the united states.
OpenStudy (2bornot2b):
I think then it will be tough for you to cope up with it.. Though you will know better.
OpenStudy (anonymous):
So, basically to classify the conic section I just find the coefficients and plug it in to the discriminant equation then determine what kind of conic section it is, such as: ellipse, circle, parabola, or hyperbola.
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OpenStudy (2bornot2b):
Its not that easy!
You need to transformation
OpenStudy (2bornot2b):
do you know that?
OpenStudy (anonymous):
like reflection, translation, rotation and all that?
OpenStudy (2bornot2b):
yes
OpenStudy (2bornot2b):
translation, rotation
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OpenStudy (anonymous):
But how is using transformation helping me to solve the problem?