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

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Question 1072507: Hello! I need help with the following question.
Graph the following parabola:
(x-3)^2=8(y+5). I only know how to find the vertex ( 3,5) and p which is 2. But I do not know how to find the focus and the directrix.
Thank you!
Click here to see answer by MathTherapy(10552)

Question 1072638: Conic Sections II. Rewrite in standard form and graph. Find the vertex and all intercepts if any.
y=−x2+6x−5
Click here to see answer by josgarithmetic(39618)

Question 1072637: Given two points (−4,−6) and (2,−8):
a. Calculate the distance between them.
b. Find the midpoint between them.
Click here to see answer by Alan3354(69443)

Question 1072691: What are the endpoints of the minor axis for the ellipse whose equation is
Click here to see answer by ikleyn(52795)

Question 1073023: In a suspension bridge, two large cables are connected to two towers swing down in curves that are parabolas. Each tower rises 80 feet above the roadway, and the towers are 300 feet apart. At the center of the bridge, the two curved cables are 5 feet above the roadway. There are vertical cables that connect the roadway to these curved cables. The vertical cables are placed 15 feet apart. Vertical cables are not necessary at either of the towers. Suppose this bridge was damaged during a wind storm. Your job is to order new vertical cables to replace the ones between the two towers on the bridge.
1-Write the equation of the parabola in standard form.
(please show steps, so I can understand)

Click here to see answer by rothauserc(4718)

Question 1073102: help me to sketch this graph please f(x)=3/x-2+5
Click here to see answer by MaxWong(38)

Question 1073101: help me to sketch this graph please f(x)=3/x+2
Click here to see answer by Fombitz(32388)

Question 1073151: Using y2 -4y -4x = 0, Find the vertex, the focus, and the directrix then graph the equation
Click here to see answer by josgarithmetic(39618)

Question 1073272: (x-3)^2+(y+2)^2=9
Click here to see answer by Edwin McCravy(20056)

Question 1073479: How do I solve and graph the equation 25x^2-16y^2-100x+96y+276=0
Click here to see answer by Edwin McCravy(20056)

Question 1073654: please help me Find the center, vertices, foci and endpoints with the minor axis of the ellipse of 2x^2+3y^2=18
Click here to see answer by ikleyn(52795)

Question 1073660: Write the equation for a parabola with a focus at (0,-5)(0,−5) and a directrix at y=-3
Click here to see answer by josgarithmetic(39618)

Question 1073660: Write the equation for a parabola with a focus at (0,-5)(0,−5) and a directrix at y=-3
Click here to see answer by MathTherapy(10552)

Question 1073728: what is the point of intersection of the ellipse (3x+5)^2+(2y-8)^2-5xy=250 and hyperbola (2x-9)^2+(y-5)^2+25xy=125
Click here to see answer by Fombitz(32388)

Question 1073987: what is the vertices of hyperbola 36y^2-49x^2=196
Click here to see answer by josgarithmetic(39618)

Question 1074616: given: f(x)=(1/4)^x. how do I determine the value of f(-2)
Click here to see answer by Alan3354(69443)

Question 1074623: given: f(x)=(1/4)^x. how do I write down the equation of f^-1(x) in the form y=...
Click here to see answer by Theo(13342)

Question 1074860: Suppose the point P(x1, y1) is on the hyperbola x^2/a^2-y^2/b^2=1. A tangent is drawn at P, meeting the x-axis at A and the y-axis at B. Also, perpendicular lines are drawn from P to the x- and y-axes, meeting these axes at C and D, respectively. If O denotes the origin, show that:
(a) OA*OC = a^2
(b) OB* OD = b^2.
Click here to see answer by KMST(5328)

Question 1075139: Right the equation of the circle with a diameter having 2 end points (18,-3) , (4,3)
Click here to see answer by josgarithmetic(39618)

Question 1075139: Right the equation of the circle with a diameter having 2 end points (18,-3) , (4,3)
Click here to see answer by MathTherapy(10552)

Question 1075139: Right the equation of the circle with a diameter having 2 end points (18,-3) , (4,3)
Click here to see answer by ikleyn(52795)

Question 1075141: The owner of an animal farm who happens to be an architect is trying to design a parabolic arch for the entrance to his farm. He wants the highest point of the arch to be 40 IN. from the ground. Also included in his design is that at the height of 30 IN. the width of the arch is to be 15 IN. How wide does he want the arch at the ground level? What is the equation of the parabolic arch?
Click here to see answer by solver91311(24713)

Question 1075324: determine the orientation of the parabola.
Directrix: y=3; p=-2
Click here to see answer by stanbon(75887)

Question 1075737: What is the equation in standard form for the parabola with vertex (0,0) and directrix you= -4

Click here to see answer by josmiceli(19441)

Question 1075987: What is the center of the circle? (X-6)^2+(y+5)^2=212
Click here to see answer by josgarithmetic(39618)

Question 1076024: What is the equation of an ellipse with vertices (+-2, 0) and (0,+-3)
Click here to see answer by Boreal(15235)

Question 1076047: 3([x^2-9y^2][y-x])

Click here to see answer by Boreal(15235)

Question 1076273: Sketch the graph of the function f(x) =-x^2-2x+5 indicating on the graph the following features :vertex, x intercept, y intercept, axis of symmetry.
Click here to see answer by josgarithmetic(39618)

Question 1076493: Find an equation for the hyperbola with center (2, 3),
vertex (0, 3), and focus (5, 3).
Click here to see answer by FrankM(1040)

Question 1076552: How are the steps to find the coordinates of the vertex for the parabola defined by the given quadratic function:
2(x-3)^2+1

Click here to see answer by josgarithmetic(39618)

Question 449574: Find an equation for the hyperbola with center (-5,3) focus (15,3) and vertex (7,3)
Click here to see answer by FrankM(1040)

Question 1076714: Find an equation of the circle that passes through the points (2,3), (4,5), and (0,-3).
Click here to see answer by MathLover1(20850)

Question 1076714: Find an equation of the circle that passes through the points (2,3), (4,5), and (0,-3).
Click here to see answer by Alan3354(69443)

Question 1076997: How do I use the elimination method to solve this problem?
3x^2+4y^2=48
2x^2-y^2=-1
Click here to see answer by josgarithmetic(39618)

Question 1076997: How do I use the elimination method to solve this problem?
3x^2+4y^2=48
2x^2-y^2=-1
Click here to see answer by Alan3354(69443)

Question 1076997: How do I use the elimination method to solve this problem?
3x^2+4y^2=48
2x^2-y^2=-1
Click here to see answer by MathTherapy(10552)

Question 1076996: How do I use the substation method to solve this problem?
Y=2x
4x^2-2y^2=-36
Click here to see answer by Alan3354(69443)

Question 1076994: What is the standard form for this conic section?
X^2+16y^2+12x+160y+276=0
Click here to see answer by Alan3354(69443)

Question 1077733: Find the surface area of the sphere x^2+y^2+z^2=49
Click here to see answer by ikleyn(52795)

Question 1078128: Find an equation in standard form for the ellipse that satisfies the given conditions. Major axis endpoints (-6, 10) and (-6, -8), minor axis length 4.
Click here to see answer by stanbon(75887)

Question 1078510: passing through (8,3) major axis 20

Click here to see answer by Edwin McCravy(20056)

Question 1078920: What is an equation for a parabola if the vertex is (0,1) and the endpoints are (-1,2) and (1,2)
Click here to see answer by josmiceli(19441)

Question 1078979: With a focus at (8,0) and directrix what is the equation of the parabola and the two points that define the latus rectum?
Click here to see answer by josgarithmetic(39618)

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