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

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Question 255079: Find the distance between the points (-3, 2) and (4, -5).

Click here to see answer by Greenfinch(383) About Me 

Question 255125: find the center & radius of the circle with the equation
x%5E2%2By%5E2-6x%2B10=0

Click here to see answer by stanbon(57967) About Me 

Question 255468: write the equation in standard form for an ellipses 4x^2+9y^2-8x+72y+4=0
Click here to see answer by richwmiller(9144) About Me 

Question 256119: How do you solve the equation x^2-6x-25=0 and write your answer in the form ab+i?
Click here to see answer by stanbon(57967) About Me 

Question 256411: find the graph of the parabola y2(squared)+6y+8x+25=0
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Question 256400: What is the distance between the points (–7, 7) and (–4, 11
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Question 256402: Find the vertices of a hyperbola with the equation (x + 3)2 – 4(y – 2)2 = 4
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Question 256357: Graph y = -2x2 - 4x + 2. Label the vertex and axis of symmetry. Find the solutions for the vertex and axis of symmetry.

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Question 256356: Graph y = –2x2 – 4x + 2. Label the vertex and axis of symmetry. Find the solutions for the vertex and axis of symmetry.

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Question 256816: A hyperbolic mirror (used in some telescopes) has property that a light ray directed at a focus will be reflected to the other focus. The focus of a hyperbolic mirror can be represented on a rectangular coordinate system by coordinates (24,0). Find the vertex of the mirror if the Mount at the the top edge of the mirror has coordinates (24,24). Sketch the focus, vertex, and part of the hyperbola to represent the mirror. Can you explain this?
Click here to see answer by drk(1908) About Me 

Question 257072: Classify the conic section and write its equation in standard form.
x%5E2-16x-8y%2B80=0

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Question 257373: Find an equation for the indicated conic section.
P is for the Parabola with focus (3, 1) and directix = 7.

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Question 244602: What conic does the equation y=x^2 represent?
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Question 257513: I need a little bit of help with conic sections as well.. (:
H is the hyperbola with center at (1,1), an x-intercept at (2,0), and one vertex at (5/4,1).

Any help given would be the best thing in the world! I'm stuck to say the least.

Click here to see answer by MRperkins(300) About Me 

Question 257655: a Parabola has a vertex (-1,5) and contains the point (2,-4). Write an equation of the parabola in the form y-k = a(x-h)^2
Click here to see answer by nerdybill(7008) About Me 

Question 258508: find the coordinates of the vertex of the parabola
f(x)=2x^2+4x+5

Click here to see answer by checkley77(12569) About Me 

Question 259713: Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find.
a. The Center C
b. Length of Major Axis
c. Length of Minor Axis
d. Distance from C to foci

Click here to see answer by stanbon(57967) About Me 

Question 259707: Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find.
a. The Center C
b. Length of Major Axis
c. Length of Minor Axis
d. Distance from C to foci

Click here to see answer by drk(1908) About Me 

Question 260136: 4x^2+4y^2= 81
determine the center and radius of the circle

Click here to see answer by Earlsdon(6294) About Me 

Question 260160: Show algebraically that the circles whose equations are x^2+y^2=16 and
x^2+y^2-20x+64=0 are externally tangent. Find the area of their point of tangency.

Click here to see answer by Alan3354(31529) About Me 

Question 260571: how do you classify this conic and write its equation in standard form and then how do you sketch its graph
x square+ y square - 6x+ 4y +10= 0

Click here to see answer by Fombitz(13828) About Me 

Question 261246: a) solve 3x^2-7x-5=0
b) find the x intercept of f(x)=3x^2-7x-5

Click here to see answer by drk(1908) About Me 

Question 261245: find the line of symmetry
find the vertex
f(x)=2(x+7)^2+4

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Question 261245: find the line of symmetry
find the vertex
f(x)=2(x+7)^2+4

Click here to see answer by richwmiller(9144) About Me 

Question 261400: What is the equation for the circle with endpoints of a diameter at (6,6) and (10,12)?
Click here to see answer by Greenfinch(383) About Me 

Question 261409: what is the equation fot the circle with a center of (-4,-7) and tangent to x=2?
Click here to see answer by Edwin McCravy(8999) About Me 

Question 262246: y=2x
x^2+y^2=15
find the solutions to the systems of nonlinear equations

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Question 263410: How do you tell which way a parabola will open by their equation?
Click here to see answer by drk(1908) About Me 

Question 263746: (x-3)^2+(y-1)^2 in standard form
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Question 263706: f(x)=1/4(x-5)^2+6 find the vertex line of symmetry and the max and min value of f(x) graph the function
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Question 264130: How do you do ; 5m^2+40m+75=0?
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Question 264180: How do you solve this equation using the quadratic formula?
4(x-2)^2=20
Thanks :)

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Question 264180: How do you solve this equation using the quadratic formula?
4(x-2)^2=20
Thanks :)

Click here to see answer by Alan3354(31529) About Me 

Question 264185: w^2-4=3w
Click here to see answer by checkley77(12569) About Me 

Question 264562: if a right circular cone intersects a plane that runs perpendicular to the cone's axis (but does not pass through its vertex) what will the curve be?
Click here to see answer by Alan3354(31529) About Me 

Question 264712: What is the equation for 16x^2 + 4y^2=64

Click here to see answer by Alan3354(31529) About Me 

Question 265122: Using the given equations of parabolas, find the focus, the directrix and the equation of the axis of symmetry.
1.) y=1/28x^2

2.) x=1/8y^2

Click here to see answer by Edwin McCravy(8999) About Me 

Question 265408: analyza and graph:
x^2=24y

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 267239: Identify the conic x^2-4y^2-4x-8y-4=0 and find its center and foci
Click here to see answer by drk(1908) About Me 

Question 267384: Find the vertex. Is the vertex a maximum or minimum point? Graph the parabola.
a(x) = x^2 -4x +4

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Question 268119: If a right circular cone intersects a plane that passes through one of its nappes, but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis, the resulting curve will be a(n
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Question 268167: find the center and radius of the circle with the equation x^2+y^2=2x-2y+7
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Question 268847: What is the domain and range of F(x,y)= √(16-x^2-16y^2 )
Click here to see answer by Edwin McCravy(8999) About Me 

Question 269113: How are the vertex and the axis of symmetry of a quadratic function related?
Click here to see answer by Edwin McCravy(8999) About Me 

Question 269877: If a right circular cone intersects a plane that passes through one of its nappes, but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis, the resulting curve will be a(n)
Click here to see answer by drk(1908) About Me 

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