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

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 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 Question 255079: Find the distance between the points (-3, 2) and (4, -5). Click here to see answer by Greenfinch(383)

 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)

 Question 256400: What is the distance between the points (–7, 7) and (–4, 11 Click here to see answer by Fombitz(13828)

 Question 256402: Find the vertices of a hyperbola with the equation (x + 3)2 – 4(y – 2)2 = 4 Click here to see answer by Fombitz(13828)

 Question 256357: Graph y = -2x2 - 4x + 2. Label the vertex and axis of symmetry. Find the solutions for the vertex and axis of symmetry. Click here to see answer by Fombitz(13828)

 Question 256356: Graph y = –2x2 – 4x + 2. Label the vertex and axis of symmetry. Find the solutions for the vertex and axis of symmetry. Click here to see answer by Fombitz(13828)

 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)

 Question 257072: Classify the conic section and write its equation in standard form. Click here to see answer by drk(1908)

 Question 257373: Find an equation for the indicated conic section. P is for the Parabola with focus (3, 1) and directix = 7. Click here to see answer by drk(1908)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 Question 261245: find the line of symmetry find the vertex f(x)=2(x+7)^2+4 Click here to see answer by drk(1908)
 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)

 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)

 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)

 Question 262246: y=2x x^2+y^2=15 find the solutions to the systems of nonlinear equations Click here to see answer by Alan3354(31529)

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

 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 Click here to see answer by jsmallt9(3296)

 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)

 Question 264712: What is the equation for 16x^2 + 4y^2=64 Click here to see answer by Alan3354(31529)

 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)

 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)

 Question 267384: Find the vertex. Is the vertex a maximum or minimum point? Graph the parabola. a(x) = x^2 -4x +4 Click here to see answer by drk(1908)

 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 Click here to see answer by solver91311(17077)