# 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 620450: The filament of a light bulb is a thin wire that glows when electricity passes through it. The filament of a car headlight is at the focus of a parabolic reflector, which sends light out in a straight beam. Given that the filament is 2 inches from the vertex, find an equation for the cross-section of the reflector. If the reflector 6 inches wide, how deep is it? Click here to see answer by nerdybill(6963)

 Question 620455: Find the center of the ellipse 4x2 + 9y2 - 40x - 54y + 145 = 0. Click here to see answer by lynnlo(4164)

 Question 620459: Find the vertex of y = x2 + 5x + 4 Click here to see answer by lynnlo(4164)

 Question 620563: A.Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 2x2 – 7y2 + x – y – 2 = 0 B.Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 8x2 – 4y2 – 4x – y + 8 = 0 Click here to see answer by solver91311(16897)

 Question 620711: Let f (x) = x to the power of 2 + 3x -3 find f (-4) ; f (-1) ; f(-2x) Click here to see answer by math-vortex(472)

 Question 620706: Write the equation in standard form of a hyperbola with vertices at (-2,4) and (-2,6) and asymptote y=1/2x + 2 Click here to see answer by lynnlo(4164)

 Question 620834: determine the shape of the graph represented by this equation: x^2+4y^2+12x-32y+96=0 Click here to see answer by ewatrrr(10682)

 Question 620936: Identify the conic section. If it is a parabola, give the vertex. If it is an ellipse or hyperbola, give the center and the foci. Click here to see answer by lwsshak3(6527)

 Question 620924: An architectural engineer is designing a parabolic dome that will be 200 feet in diameter with a maximum height of 50 feet. Find the equation of the cross-sectional parabola of the dome. Click here to see answer by ankor@dixie-net.com(15667)

 Question 621036: What are the coordinates of the vertex and foci, and what is the equation for the directrix of the following parabolic equations? a. b. c. d. Click here to see answer by lwsshak3(6527)

 Question 620844: Help stuck again. I have an hyperbola with the formula of 36x^2+144x+27-9y^2+36y=0 I need to find the formula plus the asymtopes foci and vertices. I make the formula out to be [(2/5)(x+2)^2]-(1/10)(y+2)^2 =1. Click here to see answer by lwsshak3(6527)

 Question 621020: y^2-x^2/15=1 Want to know the focus,vertices and the asymptote Click here to see answer by KMST(1874)

 Question 621143: Identify the conic section. If it is a parabola, give the vertex. If it is an ellipse or a hyperbola, give the center and the foci. Click here to see answer by ewatrrr(10682)
 Question 621143: Identify the conic section. If it is a parabola, give the vertex. If it is an ellipse or a hyperbola, give the center and the foci. Click here to see answer by lwsshak3(6527)

 Question 619584: Hi, please help me solve the question: A rectangular sheet of steel is twice a long as it is wide. From each corner a 2 cm-square is cut. Then the sides are folded to make a box (without top), which holds 60 cubic centimeters. What were the original dimensions of the steel sheet? Thank you! Click here to see answer by lwsshak3(6527)

 Question 621557: An arch can be modelled by the function: h=0.06d^2+2.13. At a horizontal distance of 2 m from one end of the arch, how high is the arch, to the nearest tenth of a metre? Click here to see answer by nerdybill(6963)

 Question 621750: i need to find the standard form of this equation and the properties of the hyperbola , i would really appreciate this help Click here to see answer by ewatrrr(10682)

 Question 621554: Find the x intercepts of the parabola with vertex (1,-13) and y intercept (0.-11) Click here to see answer by lwsshak3(6527)

 Question 622202: Graph an ellipse with foci at (0, ±2 times square root of 10 ) and x-intercept at (9, 0). Click here to see answer by lwsshak3(6527)

 Question 622709: I am stuck on this parabola question can someone please help me list steps please. The parabola given by the equation y=3x^2-30 x+28 has its vertex at (h,k) for: h= and k= Click here to see answer by ewatrrr(10682)

 Question 622715: where is the transverse axis for this hyperbola? 8y^2-5x^2=40 Click here to see answer by ewatrrr(10682)

 Question 622707: Parabola questions are the hardest can someone help me figure this out show steps please. The parabola given by the equation y=-x^2+8 x-8 has its vertex at (h,k) for: h= and k= Click here to see answer by ewatrrr(10682)

 Question 622703: I need help with this parabola question it is hard for me to find the vertex of this question. Find the vertex of the parabola y = 12 x + 4 - x^2. Enter your answer as a point (h,k), including the parentheses. The vertex is at the point: Click here to see answer by ewatrrr(10682)

 Question 622940: A quadratic equation f(x)=0 has a solution x= -1. Its graph has vertex at (3,4).What is the other solution? Click here to see answer by richard1234(5390)

 Question 623500: If the foci for an ellipse is (0,-1) and (0,1) and the major axis is 6, then is the ellipse horizontal or vertical? What would the equation of the ellipse look like? Click here to see answer by jsmallt9(3296)

 Question 623676: What is the length of the minor axis of the ellipse given by the equation x^2/144 + y^2/25 = 1? Click here to see answer by ewatrrr(10682)

 Question 623675: What are the vertices of the ellipse given by the equation x2 + 4y2 + 10x – 56y + 205 = 0? ? Click here to see answer by ewatrrr(10682)
 Question 623675: What are the vertices of the ellipse given by the equation x2 + 4y2 + 10x – 56y + 205 = 0? ? Click here to see answer by math-vortex(472)

 Question 623488: What is the standard form of the hyperbola with foci at (±4,0) and vertices at (±3,0)? Click here to see answer by lwsshak3(6527)

 Question 623928: I need someone help i am stuck doing this last part of my homework. can someone explain it to me Match each equation for a parabola with the direction that the parabola opens. 1. y=-3(x+1)^2-8 2. x=-3(y+1)^2-8 3. y=3(x+1)^2-8 4. x=3(y+1)^2-8 A. up B. right C. down D. left Click here to see answer by ewatrrr(10682)
 Question 623928: I need someone help i am stuck doing this last part of my homework. can someone explain it to me Match each equation for a parabola with the direction that the parabola opens. 1. y=-3(x+1)^2-8 2. x=-3(y+1)^2-8 3. y=3(x+1)^2-8 4. x=3(y+1)^2-8 A. up B. right C. down D. left Click here to see answer by Theo(3472)

 Question 623931: I just started doing parabola and circles i need some help. i need to find what A and B= to. Find an equation for the ellipse whose graph goes through the points (9,0) and (0,2). If your answer is \frac{x^2}{A}+\frac{y^2}{B}=1, then Click here to see answer by ewatrrr(10682)

 Question 623929: I need help with this circle problem it annoying me at this point can someone explain what i need to do in steps. Also need to identify H,K,R Find the equation of the circle whose diameter has endpoints (-9, -2) and (1, 1). Write it in the form (x-h)^2 + (y-k)^2 = r^2 Click here to see answer by ewatrrr(10682)
 Question 623929: I need help with this circle problem it annoying me at this point can someone explain what i need to do in steps. Also need to identify H,K,R Find the equation of the circle whose diameter has endpoints (-9, -2) and (1, 1). Write it in the form (x-h)^2 + (y-k)^2 = r^2 Click here to see answer by josmiceli(9697)
 Question 623929: I need help with this circle problem it annoying me at this point can someone explain what i need to do in steps. Also need to identify H,K,R Find the equation of the circle whose diameter has endpoints (-9, -2) and (1, 1). Write it in the form (x-h)^2 + (y-k)^2 = r^2 Click here to see answer by math-vortex(472)

 Question 623930: I need help in finding what H, K , R. Also finding the center of the circle. Find the center (h, k) and the radius r of the circle 4 x^2 - 7 x+ 4 y^2 - 8 = 0 . Click here to see answer by jsmallt9(3296)

 Question 623803: The equations of three distinct circles are listed below. Using complete sentences, explain which of the three circles would intersect the x-axis only. Justify your answer. Circle A: (x – 9)2 + (y – 3)2 = 25 Circle B: (x –7)2 + (y + 2)2 = 49 Circle C: (x + 2)2 + y2 = 16 Click here to see answer by jsmallt9(3296)

 Question 623946: can you write y = -3x^2 - 18x - 29 in vertex form Click here to see answer by ewatrrr(10682)

 Question 623945: what is the vertex and the y intercept of the graph function y = 2(x + 2)^2 - 2 Click here to see answer by ewatrrr(10682)

 Question 623962: how do i plug into the pythagoreaum theorum with an ellipse? Click here to see answer by solver91311(16897)

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