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

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Question 173120: I'm struggling with a homework question.
Its reads as follows
Write an equation for each of the following.
a) The conic with center at the origin, focus a (0,-3) and e= 3/5
b) The conic centered at the origin with vertex at (2,0) and e=3/2
Click here to see answer by stanbon(57337)

Question 172879: y=-x-4x-1(graph)
Click here to see answer by jojo14344(1512)

Question 173486: What is the easiest way to figure out hyperbola's?
Click here to see answer by KnightOwlTutor(293)

Question 173552: my problem states that the shape of a supporting arch can be modeled by
H(x) = -0.03x^2 + 3x
where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch.
I need a step by step instruction on how to do these types of problems.
Click here to see answer by Alan3354(30993)

Question 173551: A Parabola with the equation passes through three vertices of a square. if the area of the square = 18, find the value of in .
Click here to see answer by Edwin McCravy(8908)

Question 173591: 4x^2-24x-9y^2=0.
How do I solve this? How do I graph this?
Click here to see answer by Mathtut(3670)

Question 173642: Find an equation of the ellipse that satisfies the given conditions.
Vertices are (+-5,0), foci (+-sqrt(21),0)
Click here to see answer by gonzo(654)

Question 173641: Find equation of the parabola that satisfies the given conditions.
Vertex (-4,-2), focus (-6,-2), and symmetric with respect to the line y=-2
Click here to see answer by Mathtut(3670)

Question 173639: find the equation of the parabola that satisfies the given conditions.
Focus: (7,0), directrix: x=1
Click here to see answer by gonzo(654)

Question 173824: Please help me find the distance between the following points (1,-5) and (-4,1)
Click here to see answer by nycsub_teacher(90)

Question 173824: Please help me find the distance between the following points (1,-5) and (-4,1)
Click here to see answer by Fombitz(13828)

Question 173832: can u please help me with this
Write the equation of the circle with center (-3,-2) and
radius = Square root of 7. Find the standard form of the equation of this circle.
Thank you
Click here to see answer by Fombitz(13828)

Question 173831: can you please help me with this question.
Find the x and y intercepts, if they exist for the following.
3.6x^2 + 4.9y^2= 176.4
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Question 173852: where did the parabola orginate
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Question 173643: Find the vertices, the endpoints of the minor axis, and the foci of the ellipse.
x^2+12x+36y^2-216y+324=0

Click here to see answer by gonzo(654)

Question 173937: The instructions say "write each equation of each ellipse in standard for with center form with center at the origin and witH the given characteristics." The problem is height 8; width 18
Click here to see answer by Edwin McCravy(8908)

Question 174072: 2y=(x-5)squared+6
find: the center
the vertex's-
the foci points-
directrix -
and end point lactus-
Click here to see answer by stanbon(57337)

Question 174252: I solved x^2-4 = 0: x = +2, x = -2
What other parabolas have the same solutions? I know 4 - x^2 = 0 is another, but I can't figure how to find any others. thx

Click here to see answer by stanbon(57337)

Question 174253: From logarithms:
x^2 + 2^x = 100
I know the answer is 6, but have no idea how to solve this.

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Question 174398: y=x^2-1
Click here to see answer by jim_thompson5910(28595)

Question 174681: If two tangents to the parabola intersect on the latus rectum produced,show that they will make with the axis of the parabola complementary angles?
Click here to see answer by Alan3354(30993)

Question 174756: I need help graphing the ellipse and finding the foci of the following equation: 5x^2+y^2=25
Click here to see answer by stanbon(57337)

Question 174756: I need help graphing the ellipse and finding the foci of the following equation: 5x^2+y^2=25
Click here to see answer by Mathtut(3670)

Question 175040: 2x=-(y+2)^2
Click here to see answer by Mathtut(3670)

Question 175102: i need the vertex, the axis of symmetry of this problem....y=-x^2+6x-5...i know i have to put in form y=a(x-h)^2+k but i am lost
Click here to see answer by solver91311(16884)

Question 175155: In 1940, Emanual Zacchini of Italy was fired record distance of 175 feet from a cannon while performing in the untied states. Suppose his intial upward velocity was 80 feet per second. The height y can be represented by the function y=80x-16x^2, where x represents the number of seconds that have passed.
a) Draw the graph of the function, relating heights Mr. Zacchini reaches to the time after he was shot from the cannon.
b) How long after he was shot out of the cannon did he reach his maximum height? What was the height?
Click here to see answer by stanbon(57337)

Question 176043: Circle with diameter which has endpoints at (-4,4) and (-8, 2)

Click here to see answer by EMStelley(187)

Question 170250: find the solution of the following equation
logx^4=2 (for x >1)

2) │1+lnx │= 1
Ln(x)-1

Click here to see answer by EMStelley(187)

Question 176062: how to you put into a y= form?(for a calculator)
the equation is for an ellipse
Click here to see answer by scott8148(6628)

Question 176229: Identify the vertex, focus, directrix, direction, axis of symmetry, Latus Rectum of...
x = 1/24y2 (superscript)
Click here to see answer by stanbon(57337)

Question 176404: I need help putting 25x^2+16y^2+150x=160y-225 in standard form and then finding the a^2 value.
Click here to see answer by stanbon(57337)

Question 176404: I need help putting 25x^2+16y^2+150x=160y-225 in standard form and then finding the a^2 value.
Click here to see answer by jim_thompson5910(28595)

Question 176565: Find the distance between (2,-1) and (3,-5). Thank you.
Click here to see answer by Mathtut(3670)

Question 176983: i have the equation of an ellipse: (x-16)<-squared over 49 [plus](y-19)<-squared over 36 equals 1......i need help getting this to the "y= form" (y equals form) i explained it as best as i could so if you could please get back to me as soon as possible...gracias
Click here to see answer by stanbon(57337)

Question 177038: The vertex of this parabola is at (1, 3). Which of the equations below could be its equation?

A. y = 3(x + 1)2 + 3
B. y = 3(x + 1)2 - 3
C. x = 3(y - 3)2 - 1
D. x = 3(y - 3)2 + 1

Click here to see answer by stanbon(57337)

Question 176984: i have the equation of an ellipse: (x-16)<-squared over 49 [plus](y-19)<-squared over 36 equals 1......i need help getting this to the "y= form" (y equals form) i explained it as best as i could so if you could please get back to me as soon as possible...gracias
Click here to see answer by gonzo(654)

Question 178427: I am in over my head here, so please use very simple explanations. Find b and c so that the parabola y=20x^2+bx+c has vertex (10,-3)
Click here to see answer by scott8148(6628)

Question 179193: What is the standard form of the conic with the equation:
3x^2+5y^2-12x+30y+42=0
Click here to see answer by stanbon(57337)

Question 179196: An ellipse has the equation x^2+y^2=1 What are the coorinates of the foci ?
_ _
9 16
*[x^2 over 9] and [y^2 over 16]

Click here to see answer by Fombitz(13828)

Question 181822: Find an equation of the circle with center (-2,4) and radius 3
THANK YOU SO MUCH
Click here to see answer by jim_thompson5910(28595)

Question 181825: Given the Parabola: x^2+2y+2=0
A. find the vertex
B. find the focus
C. Find the directrix
D. graph the function
THANKS!
Click here to see answer by Mathtut(3670)

Question 181827: Find an equation of the ellipse with x-intercepts +/- 3 and y-intercepts +/- sqrt3
THANKS!
Click here to see answer by josmiceli(9674)

Question 181826: Which point is a focus of the graph of
x^2/64 + y^2/36 =1
A.(10,0) B.(0,-10) C.(-2sqrt7,0) D.(0,-2sqrt7) E.(0,-7sqrt2)
Thank you!
Click here to see answer by Mathtut(3670)

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