Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

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Question 282824: Are there any shortcuts on learning the cases of a hyperbola,a parabola and an ellipse?
By cases i mean:
For example let's talk for a hyperbola:
Condition
Eccentricity
Equation of hyperbola when Axis is on x-axis,y-axis,parallel to x-axis and y-axis itself.
Equation of directrixes for the afore-mentioned axis settings.

Click here to see answer by richwmiller(17219)

Question 282884: find the vertex of the parabola to the equation
2
y = x - 2x + 8
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Question 282012: i must identify what conic this is xy=3 i think its a circle. thanks
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Question 283263: x^2+4x+4-4y^2+8y-8=0
Is this an equation for a hyperbola? How do I find the center, vertices and foci?
Click here to see answer by Edwin McCravy(20056)

Question 283259:
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Question 283259:
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Question 283833: given the equation of a circle x^2+y^2-10x+4y+13=0. find its center and radius. i am having trouble please help
Click here to see answer by Theo(13342)

Question 283838: i must identify this conic and show why. x^2-4y^2-4x-24y=48 i would appreciate any help i can recieve. thank you
Click here to see answer by Alan3354(69443)

Question 283837: what is the equation of the ellipse with foci at (0,-4) and (0,4) and the sum of its focal radii being 10. this confuses me! please help if possible thanks
Click here to see answer by Theo(13342)

Question 284270: hi i need help with this problem for college algebra.
write the equation of the parabola that has x-intercepts (-1,0) and (3,0) and y-intercept (0,6)
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Question 284327: What are real life examples of a hyperbola?
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Question 284312: the electronic potential at a point (x;y) on the same line segment extending from (0;3) to (2;0) is given by at what point on this line segment is the potentail a minimum?
Click here to see answer by Fombitz(32388)

Question 284081: what is the equation for the conic section? it is an ellipse with the vertices
(-2,4) and (-2,-6). covertices are (-4,-1) and (0,-1). and what are the foci?
Click here to see answer by Edwin McCravy(20056)

Question 284455: write the equation in Vertex Form: x=y^2+6y+4
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Question 284560: it says use complete the square to transform the equation to graphing form then graph it
the problem is,
Click here to see answer by Edwin McCravy(20056)

Question 284560: it says use complete the square to transform the equation to graphing form then graph it
the problem is,
Click here to see answer by AnlytcPhil(1806)

Question 284738: i must figure the x intercepts, y intercepts and the foci of this ellipse? x^2/25 + y^2/36=1 please help me if at all possible.
Click here to see answer by Theo(13342)

Question 284776: i must graph x^2/16 - y^2/25=1. i must show the x intercepts, the extent of the graph and the asymptotes. i have it graphed as an ellipse with the x intercepts at +- 5 but im not sure how to achieve the others. thanks
Click here to see answer by Alan3354(69443)

Question 285165: The question is : Identify the vertex, focus, axis of symmetry, and directrix for the parabola whose equation is y^2� 8y + 16x� 64 = 0.
I tried completing the square, but I only got more confused. My textbook does not say what the directrix is or how to identify it or the focus, axis of symmetry, or the vertex as well. It mentions them, but does not show the process of finding them. Could you explain it?
Click here to see answer by stanbon(75887)

Question 285580: if you have an equation that is x^2=10y, how do you graph that as a parabola?
Click here to see answer by Alan3354(69443)

Question 285565: Find the center and radius of the circle with equation: x^2 + (y-4)^2 =9
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Question 285483: hi, im in algebra 1 and i dont understand how to do the math word problems. Their the ones tht are like if u have a rectangle with an area of 190 square feet, what is the length if the width is 2 units less than the length.
Click here to see answer by Theo(13342)

Question 285487: the problem says to write the equation in standard form and graph it
x^2+y^2+14y= -13
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Question 285487: the problem says to write the equation in standard form and graph it
x^2+y^2+14y= -13
Click here to see answer by richwmiller(17219)

Question 285445: 4x^2+16y^2=16
Click here to see answer by nyc_function(2741)

Question 285141: how do you find the center and radius for this equation for a circle
x^2+y^2-18x-18y+53=0
Click here to see answer by scott8148(6628)

Question 286786: can you find the vertex of the parabola F(x)=x^2-16x+63
Click here to see answer by stanbon(75887)

Question 286788: If (x) =4x+3,Which of the following is true and why:
1.f(x+h)=4x+3+h
2.f(x+h)=4x+4h+3
3.f(x+h)4x+4h+6
can you tell me I'll appreciate thank you for this question and the previous one
Click here to see answer by stanbon(75887)

Question 286789: can you help me and thankn you in advanced I just can't ge t it
find x-andy- intercept of f(x)=(x+4)(2x-1)(x-1)and last can you
write the equation of the line with a slope slope of 2/3 and y-intercept of 1( write in intercept form. thank you again
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Question 286814: Please help me slove this question, I don't understand how to solve and graph it
Click here to see answer by richwmiller(17219)

Question 286922: Write the equation of the tangent line. Please put your answer in the form y=mx+b. The equation of a circle and a point on the circle is
given. x^2+y^2=5; (2, 1)
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Question 287403: how do i solve parabolas?
Click here to see answer by Alan3354(69443)

Question 287465: If the zeros of a polynomial function are 1/2 and -1 , what would be the function?
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Question 287517: in the following exercises, V denotes the vertex of a parabola, F the focus, and D the directrix. Two of these are given. Find the third.
D: y=2, V(2,4)
I really don't get it and I had been studying this in class for two days and i havent done the homework either, I'm really hurting my grade. My teacher just can't explain it very well. Well, for me that is.
Click here to see answer by scott8148(6628)

Question 287609: I have some questions about figuring out what types of equations represent what types of graphs. I know that you should rearrange the co-terms. For this equation:(x + 4)^2 - (y - 8 )^2 = 39 is this a graph of a hyperbola? I am not 100% sure, seeing that the standard form of hyperbolas is (x-h)^2/a^2 - (y-k)^2/b^2=1.
Would it be right if I divide each side by 39?
However, I am not sure if the equation is one of a circle....?
Thank you very much for helping.
Click here to see answer by richwmiller(17219)

Question 287701: Find the real number Squareoot {3} - 125 over 343 ? Is it -5 over 7
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Question 288363: Hello, I have a question regarding formulas and equations.
So, i tried to figure out this problem, however, I am not sure if the answer is correct:
is the graph of 11x - x^2 - 4y^2 = 2y - 16 the graph of an ellipse?
I am not sure...thank you for your time:)
Click here to see answer by jim_thompson5910(35256)

Question 288643: Classify the conic section. (State whether it is a hyperbola, ellipse, circle or parabola). Be sure to use correct spelling or your answer will be marked wrong. 16x^2 + 9y^2 + 24x - 36y + 23 = 0
Also my teacher said that this problem couldnt be an ellipse because I originally thought thats what this was but unfortunately its not so thats why I'm confused, please help!
Click here to see answer by jim_thompson5910(35256)

Question 288666: What conic does the equation x2 - 5x + 10y + 11 = 0 represent? please please help! A. parabola
B. hyperbola
C. circle
D. ellipse
which could it be?
Click here to see answer by jim_thompson5910(35256)

Question 288672: The equation of a mirror in a particular telscope is y = x2/780 where x is the radius and y is the depth in centimeters. Graph this equation on your own, then state whether it is parabolic, elliptical, or hyperbolic.
Super confused with this question, I really don't understand where to start from, please help me!
Click here to see answer by jim_thompson5910(35256)

Question 288744: Write x^2 + y^2 - 10x + 4y + 27 = 0 in standard form
Click here to see answer by Fombitz(32388)

Question 289357: find the exact solution(s) of each system of equations.
y=x+2
y=x^2
how do you do this?
Click here to see answer by solver91311(24713)

Question 289358: find the exact solution(s) of each system of equations.
y=x+2
y=x^2
how do you do this?
Click here to see answer by j1mmy94(14)

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