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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 390942: Find the length of the minor axis for the ellipse: (x+6)^2/1+ (y+9)^2/16=1.
Click here to see answer by Edwin McCravy(20059)

Question 391114: What would these equations be in standard form???
I know that this is a hyperbola - x^2-y^2-8x+10y+15=0
And this is a parabola - y^2+4y-8x+4=0
Click here to see answer by solver91311(24713)

Question 391122: how do i find all the important information(vertex, co vertices ect.) to
(x-2)2 + (y-2)2 = 1
_____ _______
16 4
Click here to see answer by haileytucki(390)

Question 391149: How do I find the solution to the following system of conic sections???
(x^2/4) + y^2 = 1
y = x + 1
I know that the first equation is an ellipse and the second is a line and there are as many as two possible solutions to the system.
Click here to see answer by scott8148(6628)

Question 391295: How can I put this equation in the form of solving for Y? :
x^2/4=〖1-y〗^2/25
Click here to see answer by haileytucki(390)

Question 391346: Find the vertices of the hyperbola defined by this equation: (x+3)^2/1 - (y-2)^2/16 = 1. Pleas help How do I solve this?
Click here to see answer by ewatrrr(24785)

Question 391376: A hyperbola has vertices (8,0)and (-8,0)Its foci are located at (√(89),0) and(-√(89),0) identify the equation of this hyperbola. I honestly have no Idea how to solve this please help.Thanks in advance. :)
Click here to see answer by ewatrrr(24785)

Question 390926: how do you isolate the y in an ellipse equation like (x+6)^2/4+(y-5)^2/16=1?
Click here to see answer by lwsshak3(11628)

Question 391509: How do you identify the center, and radius from an equation? I also need help sketching the graph.
Click here to see answer by Alan3354(69443)

Question 386857: write an equation for the hyperbola that satisfies each set of conditions. vertices (0,-4) and (0,4), conjugate axis of length 14 units
Click here to see answer by lwsshak3(11628)

Question 386137: Write the following parabola in standard form X=Y*2-6Y+11. (notice y is squared not times 2) WHat is the vertex and equation of axis of symemtry
Click here to see answer by lwsshak3(11628)

Question 391728: find the vertex of the parabola,x2+4x+2y-7=0.
Click here to see answer by ewatrrr(24785)

Question 391748: A hyperbola has vertices (4,0) and (-4,0).Its foci are located at (√(20),0) and (-√(20),0).Find the equation of the hyperbola.
Click here to see answer by ewatrrr(24785)

Question 391784: Find the foci of the hyperbola defined by the equation: (x-6)^2/16 - (y+6)^2/4 = 1.I keep getting this question wrong I though I knew how to do this.Please help.
Click here to see answer by jsmallt9(3758)

Question 391745: y = 5(x+2)^2 + 7.
find the focus of the parabola ....
Click here to see answer by lwsshak3(11628)

Question 391623: How do I identify the equation (name the conic section), and then convert the equation to its standard form by completing the square on x and y
for the equation
4y^2-9x^2-16y-36x-56=0
Click here to see answer by lwsshak3(11628)

Question 386107: Find the eccentricity of the ellipse given by: x^2/144 + y^2/63 = 1
Click here to see answer by lwsshak3(11628)

Question 391959: Fins the vertices of the hyperbola defined by the equation.The equation is (y+3)^2/49 - (x-9)/64 = 1. it tells be to put my answer in this form (x1,y1) (y2,y2).I keep getting this question wrong could someone help.
Click here to see answer by Edwin McCravy(20059)

Question 390094: how do I graph these two equations ? (x^2-12x+84=y^2+16y) , (x^2+y^2=4x+9) ? (ie, simplify, get center/radius)
Click here to see answer by lwsshak3(11628)

Question 386168: Graph
x^2 + 2x - 8y + 25 = 0
Click here to see answer by lwsshak3(11628)

Question 384959: find the equation of the conic given: foci:(0,8) (0,-8) and vertices (0,11)(0,-11)
Click here to see answer by lwsshak3(11628)

Question 392641: 1) find the value of a for which the graph of y=ab^x is a horizontal line 2) find the value of b for which the graph of y=ab^x is a horizontal line. explain how you found your answers
Click here to see answer by richard1234(7193)

Question 393034: 1) which type of conic section is represented by the equation below? x^2-4x+5y-7=0
2)which conic section is represented by: 3y^2-x-30y+66=0?
Click here to see answer by robertb(5830)

Question 393102: Find the equation of the line normal to the curve
at the point (3,1)
Click here to see answer by Edwin McCravy(20059)

Question 393972: write a quadratic function in vertex form. write the equation for the axis of symmetry of the parabola.
Click here to see answer by solver91311(24713)

Question 394291: The Mu Alpha Theta club decided to open a lemonade stand to raise money. The club initially charged $1.25 for each glass of lemonade and sold 30 glasses. They noticed however that for every increase in price of ten cents they would sell one less glass. What should they do?
Make a table, graph your data, and write an equation for revenue.
Click here to see answer by josmiceli(19441)

Question 394062: A tunnel through a mountain takes the shape of a semi-ellipse. The tunnel is 100 feet wide and has a maximum height at its center of 30 feet. If the clearance height for vehicles needs to be a minimum of 16 feet, how much total width do they have available?
Click here to see answer by lwsshak3(11628)

Question 394753: Choose the graph that models the equation.
x + y + 6z = 6

Click here to see answer by richard1234(7193)

Question 392638: describe the similarities and differences between hyperbolas and ellipses
Click here to see answer by lwsshak3(11628)

Question 394966: the equation of hyperbola is given by f(x)= -4/x. write down the equations of the function that is formed when f is transformed as follows:1. shifts 2 units horizontally;(2)shifts 3 units vertically;(3)shift 1unit horizontally and -2 units vertically(4) the equation of the asymptotes is x = -4 and y = -1.(5)shifting the graph vertically so that it passes through point(-2;1). (6)shifting the graph horizontally that it passes through point(2;2)
Click here to see answer by ewatrrr(24785)

Question 395303: What is the equation of a circle with a diameter having endpoints at (3,2) and (9,10)?
Click here to see answer by ewatrrr(24785)

Question 384777: identify the focus of 2x^2+5x+y+14=0
Click here to see answer by lwsshak3(11628)

Question 395073: whatis the y-coordinate of the vertex of the parabola that is given? x=-1.5(y-1)^2+4
Click here to see answer by lwsshak3(11628)

Question 394963: the equation of hyperbola is given by f(x)= -4/x. write down the equations of the function that is formed when f is transformed as follows:1. shifts 2 units horizontally;(2)shifts 3 units vertically;(3)shift 1unit horizontally and -2 units vertically
Click here to see answer by lwsshak3(11628)

Question 397055: I need to find the foci, vertices, directrix, axis for 4(x-1)^2+y^2=1
Click here to see answer by robertb(5830)

Question 397311: How could I find the center (h,k) and radius r of this equation: 2(x-3)^2 + 2y^2=8 ?
Click here to see answer by solver91311(24713)

Question 397311: How could I find the center (h,k) and radius r of this equation: 2(x-3)^2 + 2y^2=8 ?
Click here to see answer by CharlesG2(834)

Question 397353: Find the vertices of the hyperbola defined by the equation: (x-7)^2/4-(x-1)^2/16=1.Please help I can't remember how to do this.
Click here to see answer by solver91311(24713)

Question 397910: (x - 8)2 + (y - 12)2 = 25 i need the correct conic section to fit the equation.
Click here to see answer by Alan3354(69443)

Question 398076: Hi! Im studying for an exam, im having a problem with this problem, i tried to input the values in the formula(x^2=4py) but cant get the answer.
The problem is:
the distance between two towers is 150m, the points of support of the cable on the towers are 22m above the roadway, and the lowest point on the cable is 7m above the roadway. Find the vertical distance to the cable from a point in the roadway 15m from the foot of a tower.
Can you show me how to get the ordinate of the focal parameter being asked? I tried for almost an hour but still cant get the correct answer. the answer stated in the book is 16.6m
THAN YOU VERY MUCH!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 27982: What is the equation of the parabola that moves the parent graph of y=x^2 down 10 units???????
Click here to see answer by babyb_(6)

Question 398724: center:7,-11
point on circle:2,-9
Click here to see answer by Alan3354(69443)

Question 398754: the vertex form equation of parabola identify coordinate v(h,k)
1)y=2x^2+32x+125
2)x^2-6x+y+9=0
Click here to see answer by lwsshak3(11628)

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