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

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

Question 237370: write an equation in standard form of the parabola that has the same shape as the graph of , but which has a maximum of at .
Click here to see answer by Edwin McCravy(20058)

Question 237434: How di identify if 9xsquared+16ysquared=144?
Click here to see answer by College Student(505)

Question 237858: Okay, so what is a eauation for a line of symmetry for (x-2)(x-2)
also what are you equations for parabolas, with (2,0) as a vertex.
anyways i dont want you tto tell me the anwer i wannt to know how to answer, so it will help me
thanks :D
Click here to see answer by solver91311(24713)

Question 237815: I am given the length, and height of a parabola which is positioned like a bridge, therefore the parabola's opening is downwards. The Length of the base of the parabola is 5meters, the height is 4meters. I need to find the maximum height of a rectangle to fit into the parabola(bridge). The rectangle cannot be the height of the parabola, and the edges cannot go past the parabola. The Width of the rectangle is 2meters. What is the maximum height of the rectangle so that it would fit through the parabola, without getting stuck? How would you write the equation of the parabola? Would it be y= -a(x-4)^2+0 ?? Is the vertex (0,4) ?
Click here to see answer by ankor@dixie-net.com(22740)

Question 237942: Please help me solve this problem, i have to graph it.
25x^2+4y^2=100
Click here to see answer by scott8148(6628)

Question 238027: How to get the quadratic Intercept form converted to the quadratic vertex form in the equation y=4(x+1)(x-6)
Click here to see answer by Theo(13342)

Question 238232: x^2+4x-4y+16=0
Click here to see answer by checkley77(12844)

Question 238389: can you tell me how to convert a parabola into an equation... x intercepts are (3,0) and (13,0) how do i find the vertex if thats all the info i have...
Click here to see answer by Theo(13342)

Question 238483: What is the domain and range to this function: 16y^2/9 + 4x^2/25 = 1
Click here to see answer by stanbon(75887)

Question 239020: Find the center and the radius of the circle x+1 squared + y+4 squared =81.
Click here to see answer by Theo(13342)

Question 239117: A volleyball is hit upward by a player in a game. The height (h) (in feet) of the volleyball after (t) seconds is given by the functin h=-16+30t+6.
What is the maximum height on the volleyball?
Click here to see answer by nerdybill(7384)

Question 239121: What is the greatest zero of the function
Click here to see answer by jsmallt9(3758)

Question 239174: what is the real part of the standard form of the expression (5+i)(10-i)
Click here to see answer by ankor@dixie-net.com(22740)

Question 239273: y^2-8y-8x-8=0 Find the equation of the axis. find the coordinates of the vertex. find the coordinates of the focus. find the equation of the directrix
Click here to see answer by Photonjohn(42)

Question 239721: Identify the coordinates of the vertex, and focus, the equations of the axis of symmetry and directirix, and the directions of opening of the parabola with the given equation. Then find the length of the latus rectum and graph the parabola.
-2(y-4)=(x-1)^2
I'm confused on each part, in general. Can you help me on each step?
Click here to see answer by stanbon(75887)

Question 240467: I'm in dire need of help on my Honors pre-calculus assignment.
I'm given the foci (3,+-2) and the x intercepts of -1 and 7 .
How do I find the equation of the conic (parabola, hyperbola, or ellipse) described?
Click here to see answer by scott8148(6628)

Question 241169: How do I put x^2-6x-y+11=0 in standard form for a parabola? Please help!
Click here to see answer by solver91311(24713)

Question 241372: 9x^2-16y^2+36x+64y=172

What type of conic?
Standard Form?

Click here to see answer by stanbon(75887)

Question 241398: x^2+y^2=2x-2y=2

What type of conic is this?
What is the standard form of this equation?
Click here to see answer by rapaljer(4671)

Question 241771: how do you change y=-16x^2+88x+3 to vertex form?
Click here to see answer by jim_thompson5910(35256)

Question 242434: i need to find the vertex, symmentry axis does graph go up or down and graph
y=2x^2 +8x + 16
Click here to see answer by stanbon(75887)

Question 242289: Graph each conic section and state the desired information?
Parabola
x= y^2 + 8y + 20
Click here to see answer by philline_palana(20)

Question 242572: Graph each equation. Identify the conic section and describe the graph and its lines of symmetry. Then find the domain and range:
Click here to see answer by stanbon(75887)

Question 242816: I am suppose to graph this conic section how do I do this equation (x+2)=4(y-1)^2
Click here to see answer by Edwin McCravy(20058)

Question 243722: How would you graph this hyperbola: -(x/6)^2 -(y/6)^2 = 1?
Click here to see answer by Edwin McCravy(20058)

Question 245100: please help me solve this conic equation:
Click here to see answer by Alan3354(69443)

Question 246797: I have a problem that I am working on that has two components. The question is as follows:
Part A) P is the parabola with focus (3,1) and directrix x=7.
Part B) H is the hyperbola with center at (1,1), an x-intercept at (2,0) and one vertex at (5/4,1).
I need to find an equation for the indicated conic section.
I am completely confused - any help?
Lori
Click here to see answer by stanbon(75887)

Question 246720: I have a math question with two parts. I am trying to work through the problem but am so confused. The question is as follows:
Part 1) P is the parabola with focus (3,1) and directrix x=7. I have placed on the graph the focus (3,1) and the directrix x = 7 and have come up with a vertex of (5,1). The equation I am using is x-h=a(y-k)^2. But I am confused as to what the true equation looks like.
Part 2) H is the hyperbola with a center at (1,1), an x-intercept at (2,0) and one vertex at (5/4,1). I am completely lost with this one.
Any help would be greatly appreciated.
Lori
Click here to see answer by stanbon(75887)

Question 247662: How do i determine whether the given quadratic function has a maximum value or a minimum value and then find that value?
x^2+2x-6
Click here to see answer by oberobic(2304)

Question 247673: How do you find the focus and the directrix of a parabola when the equation is (x-2)^2=2(y+2)?
Click here to see answer by Theo(13342)

Question 248091: Find the vertices of the hyperbola
4x^2-16y^2=64

Click here to see answer by stanbon(75887)

Question 248184: Identify the type of conic, if any, represented by this equation.
y=(x+2)^2+5
Click here to see answer by scott8148(6628)

Question 248303: Find the coordinates of the center and the radius of each circle whose equation is given. Then draw the graph.
#31)

I am confused about what to do after expanding the y^2+6y part to (y+6y+9)^2. The "-14x" is also confusing me.
Any help would be greatly appreciated!
Click here to see answer by stanbon(75887)

Question 248339: Find the equation of the two tangents to the parabola y2 = 5x from
the point (−1, 1).
Click here to see answer by Alan3354(69443)

Question 249220: find all(x,y) that satisfy x�+3y�= 52 and x�= 3y+16.
Click here to see answer by Alan3354(69443)

Question 249588: x^2/a^2+y^2/a^2-(2xy/a^2)cos45=sin^2(45)
please tell me what is the graphical shape of this equation.
Click here to see answer by Edwin McCravy(20058)

Question 249614: Find the vertices and the foci of the ellipse given by
x^2+9y^2-24z+18y+9=0
(x squared plus 9y squared minus 24z plus 18y plus 9 equals 0)
Click here to see answer by jsmallt9(3758)

Question 249616: Find the vertices and asymptotes of the hyperbola given by
x^2/25-y^2/2^2=1
(x squared over 25 minus y squared over 2 squared equals 1)
Click here to see answer by jsmallt9(3758)

Question 249950: i need help with solving parabola
(3x+8)(2x+1)

Click here to see answer by jim_thompson5910(35256)

Question 249973: how would i graph the ellipse
(x+6)^2/4 + (y-7)^2/1 = 1
Click here to see answer by Alan3354(69443)

Question 250222: (x-3)^2 + (y+4)^2 = 1
_______ ________
16 25
Click here to see answer by solver91311(24713)

Question 250296: I need assistance on completing the square in order graph the conic section.
-9x^2+4y^2+36x+24y-36=0
Do you start off as -9x^2+4y^2+36x+24y=-36?
Click here to see answer by richwmiller(17219)

Question 250320: I need help on this program complete the square, then graph conic section
x^2+y^2+4x+6y-3=0
So far I have x^2+y^2+4x+6y=-3
(x^2+4x)+y^2+6y=-3
I'm confused at this point
When you do get it in this form (x-h)^2+(y-k) how do you go about graphing it?
Click here to see answer by richwmiller(17219)

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