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

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Question 1087530: (x+1)^(2)=-4(y-3)
principal axis
vertex
focus
directrix
endpoints of focal width
length of focal width
graph
thanks. appreciate it. God bless.
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Question 1087610: X^2+x-2
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Question 1087427: Sketch the graph and identify focus, directrix, vertex, latus rectum and axis of symmetry: y^2 = -25x
Thank you very much!
Click here to see answer by Edwin McCravy(20056)

Question 1087639: 16x^2+5y^2-3y+4y=530
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Question 1087649: Find the equation of parabola whose focus is
(-8, -2) and equation of directrix is y = 2x - 9
Click here to see answer by Edwin McCravy(20056)

Question 1087630: (5,10) (5,-10)
Click here to see answer by Alan3354(69443)

Question 1087740: Please help me solve this hyperbola equation with vertices(5,-3) and (-1,-3) and afocus at (7,-3)
Click here to see answer by MathLover1(20850)

Question 1087820: a tunnel has a shape od semi ellipse that 15ft hight at the center,and 36ft across at the base. a most how high should padsing truck be, if it is 12ft wide, for it to be able to fit through the tunnel? Round off your answer to the decimal places.
Click here to see answer by KMST(5328)

Question 1088091: whats the equation of a parabola with a vertex at (-3, 7) and a directrix x = -8?
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Question 1088186: Convert the general equation to standard form of a parabola
4x^2-24x-40y-4=0
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Question 1088197: what are the X intercepts of the parabola with vertex (5,-12) and Y intercept of(0,63)
i have tried running it though this equation but i am confused on how the "a" value is found or produced.
Click here to see answer by Fombitz(32388)

Question 1088187: what is the center, Vertices, foci, b MNA, Principal axis, Directrices, Eccentricity, LLR, Lengths of MJA/MNA, and graph of:
1.)4x^2+9y^2+18y-11=0
2.) 9x^2+4y^2-54x-16y+97=0
3.) 9x^2+4y^2+36x-24y=-36
4.) 25x^2+4y^2=100
Click here to see answer by ikleyn(52795)

Question 1088447: 25x^2-16y^2-50x-32y-391 = 0
Click here to see answer by ikleyn(52795)

Question 1088558: Hello, could someone please help me with the following problem? I am supposed to provide the equation of the asymptotes for the hyperbola:
4y^2-x^2=36. Thank you for your assistance!
Click here to see answer by MathLover1(20850)

Question 1088610:
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Question 1088643: The center of an ellipse is on (-2, -1) and one of its vertex is on (3, -1). It the length of each latus rectum is 4, find the equation of the ellipse, its excentricity and the coordinates of its foci.
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Question 1088934: Reduce standard equation into standard form.
4x^2+6x-y+2=0
Click here to see answer by josgarithmetic(39618)

Question 1089207: The point (1,2) lies outside the circle x^2+y^2=k if k satisfies the condition?
a)k>5
b)k<=5
c)k<5
d)0
Click here to see answer by MathLover1(20850)

Question 1089208: The equation of common tangent to the parabola y^2=x and circle x^2+y^2-2x+3=0 is?

Click here to see answer by ikleyn(52795)

Question 1089314: Write a function where the graph has vertical asymptotes located at x = -5 and x= 2.
Click here to see answer by solver91311(24713)

Question 1089467: hi! I'm not sure how to do this word problem of a parabola. The question is: An arch is the shape of a parabola. If an arch is 200 feet high and 80 feet wide, how tall is the arch at 20 feet away from the center. Thank you!
Click here to see answer by ikleyn(52795)

Question 1089477: The x intercept and vertex of y=(x-1)�+1 and y=(x+2)�-2
Click here to see answer by Fombitz(32388)

Question 1089535: How do you find the focus, directrix, and axis for the following equation:
10x-y^2+2y+9=0
Click here to see answer by MathLover1(20850)

Question 1089712: Ellipse
Hello, would you please help me?
Express 4y^2 + 9x^2 - 24y - 72x + 144 = 0
to standard equation, then graph the ellipse.
Thank you very much. It would be a big help.
Click here to see answer by ikleyn(52795)

Question 1089733: Equation of a circle Passing through (6,-1) and tangent 4y-3x-2=0 at (2,2)
Click here to see answer by Alan3354(69443)

Question 1089733: Equation of a circle Passing through (6,-1) and tangent 4y-3x-2=0 at (2,2)
Click here to see answer by ikleyn(52795)

Question 1089559: How do you find the equation for the hyperbola with a center at( 1,1) an x intercept at (2,0) and one vertex at (5/4, 1) ?
Click here to see answer by MathLover1(20850)

Question 1089929: Draw the parabola with vertex at the origin having an equation of x^2 = 20y

Click here to see answer by Edwin McCravy(20056)

Question 1089543: center (-2,1) distance from center to vertex is vertical hyperbola passing through the point (0,7)

Click here to see answer by ikleyn(52795)

Question 1090308: what is the standard form of the equation of a parabola with the general form of x^2-9y^2+4x-36y-41=0?

Click here to see answer by ikleyn(52795)

Question 1090308: what is the standard form of the equation of a parabola with the general form of x^2-9y^2+4x-36y-41=0?

Click here to see answer by MathLover1(20850)

Question 1090346: Find the equation the ellipse with a length of major axis 6, minor axis 4
and the foci on x axis
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Question 1091014: -x^2+5x+6
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Question 1091169:
Click here to see answer by Alan3354(69443)

Question 1091307: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given equations:
1. X2 = -4y
2. 3y2 = 24x
3. (y + 5/2)2 = -5(x - 2/9)
Click here to see answer by MathLover1(20850)

Question 1091390: 2. Graph each ellipse and clearly indicate the center, foci, vertices, and co-vertices
x/16 - x/4 + y^2/9 + 4y/9 = 11/16
PS This is on fractions. Thank you in advance!!
Click here to see answer by ikleyn(52795)

Question 1091389: 1. Graph each parabola and clearly indicate the focus, directrix and endpoints at the latus rectum.
y^2 - 8y + 12x - 8 = 0
Click here to see answer by greenestamps(13200)

Question 1091494: 3. Identify the conic section by writing 4x^2 + 4y^2 + 40x + 16y + 40 = 0 in standard form. (Please show how and why.)
PS. Thank you in advance!!
Click here to see answer by Alan3354(69443)

Question 1091493: Graph each ellipse and clearly indicate the center, foci, vertices, and co-vertices
x^2/16 - x/4 + y^2/9 + 4y/9 = 11/16
PS This is on fractions!! Thank you!'
Click here to see answer by Alan3354(69443)

Question 1091498: Suppose you are a Chief Mathematician for the A^2B^2 Company. Your company has a contract to build a football stadium in the form of two concentric ellipses, with the field inside the inner ellipse and seats between the two ellipses. The seats are in the intersection of the graphs pf x^2+4y^2 (greater than or equal sign) 100 and 25x^2+36y^2 (less than or equal sign) 3600 where each unit represents 10m. Draw the graph of the seating area.
In you research, you find out that the area of an elliptical region is (pi sign)ab, where a and b are half the lengths of the major and minor axes respectively. The Engineering Department estimates that each seat occuies 0.8m^2. What is the capacity of the stadium?
Click here to see answer by htmentor(1343)

Question 1091497: Graph the parabola and clearly indicate the focus, directrix, and the endpoints at the latus rectum
(x+3)^2 = 8(y+2)
PS. Thank you in advance!!
Click here to see answer by josgarithmetic(39618)

Question 1091645: center at (1,-1), major axis parallel OX, length of one latus rectum 8/3, distance between foci 2√5
Click here to see answer by ikleyn(52795)

Question 1091685: A street with two lanes, each 10 ft wide, goes through a semicircular tunnel with radius 12 ft. How high is the tunnel at the edge of each lane?

Click here to see answer by ikleyn(52795)

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