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

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 Question 817322: What is the equation of the hyperbola with vertices (0,4) and (0,-4) and asymptotic y=(1/3)x and y=(-1/3x) Click here to see answer by Edwin McCravy(9717)

 Question 816426: How do you write an equation for an upside down parabola going through points (0,0) (24,12) and (32,0)? Click here to see answer by lwsshak3(7679)

 Question 817124: x^2+2x-4y+17=0 Find Vertex and Directrix of the parabola Click here to see answer by lwsshak3(7679)

 Question 816548: find the standard form of the equation of the ellipse satisfying the given conditions. Foci:(0,-2), (0,2); x-intercept: -2 and 2 Click here to see answer by lwsshak3(7679)

 Question 816974: Please help me solve 9x^2+25y^2-36x+50y-164=0 I know I have to solve by completing the square, but my answer does not match up to the one in back of book. When I completed the square I got: 9x^2-36x+324+25y^2+50y+625=1113 I don't think I am completing the square correctly??? (36/2)^2, I got 18^2 =324 and (50/2)^2, I got 25^2=625. Click here to see answer by lwsshak3(7679)

 Question 817019: It is asking to write this in standard form. The teacher got 2 for r^2 but I keep getting 8. Here is the equation: 4x^2+4y^2-20x-32y+81 Click here to see answer by Alan3354(34677)

 Question 816537: Please help me solve this problem. Thanks in advance! A baseball is hit so that its height in feet after t seconds is s(t) = -16t^2 + 44t + 4. (a) How high is the baseball after 1 second? (b) Find the maximum height of the baseball. Click here to see answer by TimothyLamb(834)

 Question 816543: Your help is needed and appreciated in solving this problem. Thanks! Divide as indicated. Write each quotient in standard form. -3 + 4i over 2 - i Click here to see answer by Alan3354(34677)

 Question 816441: find the vertex, the focus, and the directrix. then draw the graph x^2-16y=0 Click here to see answer by TimothyLamb(834)

 Question 816231: How do you write an equation for a parabola going through points (0,0) and (32,0)? Click here to see answer by stanbon(60771)

 Question 815875: Graph each hyberbola by hand. Give domain and range and center. (y - 5)^2 over 4 - (x + 1)^2 over 9 = 1 Your help in solving this problem is greatly appreciated! Thank you! Click here to see answer by ewatrrr(11176)

 Question 815611: Write the vertex form of the equation with the vertex at the origin, and the focus at (0,-1) Click here to see answer by TimothyLamb(834)

 Question 815515: I have to determine if this is a circle (and find the radius and center) a parabola (find the vertex focus and directrix) or if is an ellipse or hiperbola find the foci and sketch it. My problem to solve is y^-2y+16x-31= 0 Click here to see answer by lwsshak3(7679)

 Question 815513: I have to determine if this is a circle (and find the radius and center) a parabola (find the vertex focus and directrix) or if is an ellipse or hiperbola find the foci and sketch it. My problem to solve is x^+y^-12x+18y-4= 0 Click here to see answer by Alan3354(34677)

 Question 815412: I have to determine if this is a circle (and find the radius and center) a parabola (find the vertex focus and directrix) or if is an ellipse or hiperbola find the foci and sketch it. My problem to solve is 16x^+9y^-96x-18y+9= 0 Click here to see answer by richwmiller(10279)

 Question 815387: [ Explain how to determine, without graphing, that the parabolic graph of a quadratic function will not have any x-intercepts. What is a real life example that can be represented by the quadratic function and the parabolic graph? What does the vertex represent in these cases? ] Click here to see answer by TimothyLamb(834)

 Question 815227: Find the equation of the graph of all points such that the sum of the distances from (1,0,0) and (-1,0,0) is always equal to 4. Describe the graph. Click here to see answer by Alan3354(34677)

 Question 815170: The focus of parabola y^2-4y-6x+13=0 will be Click here to see answer by Edwin McCravy(9717)

 Question 815010: Find the foci for the following hyperbola 25x^2-9y^2+100x-54y+10=0 Click here to see answer by lwsshak3(7679)

 Question 815009: Find the vertex, focus, and directrix of the parabola Y^2+14y+4x+45=0 Click here to see answer by TimothyLamb(834)

 Question 814895: A parabolic reflector for a car headlight forms a bowl shape that is 6 in. wide at its opening and 3 in. deep. How far from the vertex should the filament of the bulb be placed if it is to be located at the focus? Click here to see answer by lwsshak3(7679)

 Question 814826: Find an equation of the hyperbola that has it's center at the origin with vertices v(+-4,0) and passing through the point (8,2) Click here to see answer by lwsshak3(7679)

 Question 814840: Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18 Click here to see answer by lwsshak3(7679)

 Question 814827: Verify the identity. 1/1-cos + 1/1+cos = 2 Csc^2 Click here to see answer by DrBeeee(577)
 Question 814827: Verify the identity. 1/1-cos + 1/1+cos = 2 Csc^2 Click here to see answer by mananth(13127)

 Question 814460: What is the standard equation of: 4x^2 + 3y^2 + 8x - 24y + 51 = 0? I understand that it is an ellipse, and I have gotten to a point of: 4(x+1)^2 + 3(y-4)^2 = 1. However, I am unsure how to progress to get a^2 and b^2 to finish finding the equation. Click here to see answer by lwsshak3(7679)

 Question 814677: Find the center, vertices, foci, and asymptotes of the hyperbola. I have found the center, vertices, and foci, but I can't seem to get the correct answer for the asymptotes. Thanks for the help! Click here to see answer by ewatrrr(11176)