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

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

Question 619024: Identify the vertices, co-vertices and foci of the ellipse for each equation
a. x^2/36 + y^2/16 =1
b. (x+5)^2 + y^2/49 = 1

Click here to see answer by jsmallt9(3758)

Question 619254: Write the equation of the circle in standard form and identify the center and radius. x^2+y^2-2x+6y+9=0
Click here to see answer by scott8148(6628)

Question 619258: Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter.
Click here to see answer by Alan3354(69443)

Question 619259: Find the center and radius of a sphere, x^2+y^2+z^2-4x+2y-6z+10=0
Click here to see answer by Alan3354(69443)

Question 619259: Find the center and radius of a sphere, x^2+y^2+z^2-4x+2y-6z+10=0
Click here to see answer by Theo(13342)

Question 619274: (x)^(2)+8x+(4y)^(2)-8y=80
Write the equation in standard from and then identify the graph of this equation and important characteristics of the graph, such as center, orientation, a,b,c.

*I am just so lost....*
Click here to see answer by stanbon(75887)

Question 619255: Find the standard form of the hyperbola with verticies (0,3) and (0,-3) and asymptotes y=3/2x and y=-3/2x
Click here to see answer by lwsshak3(11628)

Question 619273: (x-2)^(2)/25 + (y+1)^(2)/16 =1
This will graph a(n) ____________ with a center at ___________________. The verticies will be ________ units from the center, the co-verticies will be _______ units from the center and the foci will be ______ units from the center. The orientation will be _________________.
*This one I think is an elipse with a center at (2,-1) but again, I have no idea what to do....*
Click here to see answer by stanbon(75887)

Question 619252: Whats the standard form of an ellipse with verticies at (-5,-6) and (-5,8) and a minor axis of 6?
Click here to see answer by KMST(5328)

Question 619253: Find vertex, focus, and directrix of the parabola. 1/2y^2 +18x=0
Click here to see answer by lwsshak3(11628)

Question 619251: Whats the standard form of a parabola with vertex at origin and directrix of x=5?
Click here to see answer by lwsshak3(11628)

Question 619433: find the center (h,k) and radius, r, of the cirlce. x^2+y^2+6x+8y+9=0
Click here to see answer by ewatrrr(24785)

Question 619433: find the center (h,k) and radius, r, of the cirlce. x^2+y^2+6x+8y+9=0
Click here to see answer by jim_thompson5910(35256)

Question 619450: i need to simplify the following to the form y^2/a^2-x^2/b^2 to i can solve a hyperbola problem. I don't know how to simplify it. The problem to be simplified is:
(y+5)^2/36 - (x+2)^2/25 =1
Please help with step by step to simplify
Click here to see answer by jim_thompson5910(35256)

Question 619477: I have the following equation: I need to identify the vertices and foci of the hyperbola. I also need to show my work.
(y+5)^2/36 - (x+2)^2/25 =1
thank you
Click here to see answer by ewatrrr(24785)

Question 619580: Hi, please help me solve the question:
A man spends $4.00 to buy lemons. If the price of each lemon were 4 cents less, he could buy 50 more for the same amount of money. What was the price of each lemon?
Thank you!
Click here to see answer by josmiceli(19441)

Question 619577: Hi, please help me solve the question:
Find the equation of a parabola passing through ( 1, -4) with the y-axis as the axis of symmetry and a vertex at (0,0).
Thank you!
Click here to see answer by lwsshak3(11628)

Question 619455: I have the equation :
(y+5)^2/6^2-(x-2)^2/5^2=1
i need to identify the vertices and foci of the hyperbola. I'm not sure how to do that with my numerators. And I also need to graph this.
Click here to see answer by lwsshak3(11628)

Question 620119: Find the coefficient of x17y3 from the expression (x + y)20
Click here to see answer by ewatrrr(24785)

Question 620148: does y value also increase towards infinity along with x value towards positive infinity if so does y value increase faster or slower than x value

Click here to see answer by stanbon(75887)

Question 620174: (x+3)^2/7^2-(y-4)^2/5^2=1 which direction does the hyperbola go?
Click here to see answer by solver91311(24713)

Question 620174: (x+3)^2/7^2-(y-4)^2/5^2=1 which direction does the hyperbola go?
Click here to see answer by ewatrrr(24785)

Question 620155: 64x^2+16y^2+320x-192y+960=0
need in ellipse form plus foci, verts, and ecc
I got for the formula 4(x+5/2)^2 + (y-6)^2 =1 not sure if this is right

Click here to see answer by ewatrrr(24785)

Question 619950: write an equation for the hyperbola with vertices (4, -5) and (4,1) and foxi (4,3) and (4,-7)
Click here to see answer by lwsshak3(11628)

Question 619757: the graph of the equation below is an ellipse. what is the x-coordinate of the center of the ellipse? (x+4)^2/6^2+(y+8)^2/7^2=1
Click here to see answer by lwsshak3(11628)

Question 620432: Find the vertex, focus and directrix of the equation y2 = 8x.

Click here to see answer by lynnlo(4176)

Question 620446: Find the vertex, focus and directrix of the parabolic equation x2 = 8y.
Click here to see answer by lynnlo(4176)

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(7384)

Question 620455: Find the center of the ellipse 4x2 + 9y2 - 40x - 54y + 145 = 0.
Click here to see answer by lynnlo(4176)

Question 620459: Find the vertex of y = x2 + 5x + 4

Click here to see answer by lynnlo(4176)

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(24713)

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(648)

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(4176)

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(24785)

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(11628)

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(22740)

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(11628)

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(11628)

Question 621020: y^2-x^2/15=1
Want to know the focus,vertices and the asymptote
Click here to see answer by KMST(5328)

Question 621019: y^2-x^2/15=1
Click here to see answer by lwsshak3(11628)

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(24785)

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(11628)

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(7384)

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