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

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

Question 542528: I have to find the vertex, axis of symmetry, minimum or maximum value, and range of the parabola. the formula is y=ax^2+bx+c
Question: y=2x^2-6x+3
What i have so far:
y=2x^2-6x+3
-b/2a=-(-6)/2(2)=6/4=3/2
y=2(3/2)^2-6(3/2)+3
2(9/4)-(-18)/2
I am stuck, I'm not sure if im doing it right but if you could help explain it to me that would be awsome! thank you!
Click here to see answer by Theo(3464)

Question 543753: Find the following product: (y-8) ^2
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Question 544552: Hi, I have been staring at this problem for about an hour . could you please help me ?
It's (x+2)^2/9 + (y+2)^2/4 = 1
I am suppose to sketch the ellipse which I will be able to do on my own, but I just don't know how to find the numbers..
If you could help me, I would appreciate it so much !
Thaaaaank you :)
Click here to see answer by KMST(1868)

Question 544629: how to graph -x2+5x-4?
Click here to see answer by JBarnum(2044)

Question 544628: an ellipse has foci at (-5,0) and (5,0) what is the value of c squared?
Click here to see answer by KMST(1868)

Question 544669: I need help with this problem. It states that given that a parabola has a directrix of y= -3.25 and focus (0,-2.75), find the vertex. Then it wants me to write the equation of the parabola then graph the parabola.
Click here to see answer by lwsshak3(6505)

Question 544742: the amount of cloth used to amke four cutains is given by the function A=-4xsquared+40x, where x ia the width of one cutain in feet ad A i sthe total area in square feet. Find the width that maximizes the area of the curtains. What is the maximum area?
Click here to see answer by lwsshak3(6505)

Question 544865: what is the minimum value of the equation y=1/3x^2+2x+5
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Question 544860: What is the equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(0, -5); y=5
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Question 544483: A nuclear power plant has a large cooling tower with sides curved in the shape of a hyperbola. The radius of the base of the tower is 60 meters. The radius of the top of the tower is 50 meters. The sides of the tower are 80 meters apart at the closest point located 100 meters above the ground.
Find the equation of the hyperbola that describes the sides of the cooling tower. Assume that the center is at the origin. Determine the height of the tower.
Click here to see answer by lwsshak3(6505)

Question 542265: What are the vertices and the foci of this conic.
9x^2+ 4y^2 + 64y = -220
I basically need the most help with how to solve it, not just simply the answer please.
Thank you
Click here to see answer by lwsshak3(6505)

Question 545097: where are the foci of 9x^2+25y^@-36x-189=0 please i need help.all help would be appreciated.

Click here to see answer by saifoo.khan(162)

Question 545095: 0=y^2-8x+4y-20 ive tried everything but i can't get the answer. its asking for the equation in standard form,vertex,focus,directrix,and the functions in terms of y.please help i need to know this to pass my math class.
Click here to see answer by stanbon(57347)

Question 545209: 0=y^2-8x+4y-20 ive tried everything but i can't get the answer. its asking for the equation in standard form,vertex,focus,directrix,and the functions in terms of y.
Click here to see answer by Edwin McCravy(8909)

Question 545027: How do I graph an ellipse with the equation of (((x-3)^2)/9)+(((y-4)^2)/4)=1 ?
Click here to see answer by KMST(1868)

Question 545230: an elliptical window is 24 inches wide at its widest point and 12 inches tall at its tallest point. it has an elliptical frame that is 2 inches wide. what is the equation for the ellipse formed by the inside of the frame?please need help for math class.
Click here to see answer by KMST(1868)

Question 545715: write in standard form,an ellipse with foci (-3,2) and (1,2) and major axis of length 8
Click here to see answer by lwsshak3(6505)

Question 545573: Hello, could you please help me figure out where I am going wrong with the foci and vertices of . I keep getting an "a" of 2 and a "b" of 5 (with "c" being sqrt( 29 ) ) but my calculator's graph says it should be different (an "a" of 1/2). Thank you.
Click here to see answer by lwsshak3(6505)

Question 545969: Could someone help me solve this problem it wants me to evaluate the function for the indicated value
f(x)=x2^+5x+7; find f(2)
Click here to see answer by stanbon(57347)

Question 545970: I don't understand this problem confused it asked to solve the quadratic equation by completing the statement.
x2^-14x=-45
Click here to see answer by ankor@dixie-net.com(15652)

Question 545970: I don't understand this problem confused it asked to solve the quadratic equation by completing the statement.
x2^-14x=-45
Click here to see answer by Edwin McCravy(8909)

Question 545955: I have 3 problems left on my assignment and now I'm stuck. It says to solve the quadratic equation by completing the square.
x2-14x=-45
Click here to see answer by Alan3354(30993)

Question 546005: (x-4)^2+16(y-5)=0 Does this line go through point (0,7)? And does this parabola open upwards?
Click here to see answer by lwsshak3(6505)

Question 544037: what is the equation of the conjugate of the hyperbola
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Question 545406: An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet above ground (the major axis). What should the span of the bridge be (the length of its minor axis) if the height is 31 feet from the center is to be 16 feet above the ground.
Click here to see answer by lwsshak3(6505)

Question 546483: use factoring to put h(t)=(-16t^2)+80t
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Question 546772: Graph each function identify the axis of symmetry
y=(x-1)2nd power+2
Click here to see answer by stanbon(57347)

Question 547488: Solve the quadratic equation by completing the square.
Xsquared + 10X + 35 = 0
Click here to see answer by oberobic(2304)

Question 547019: Sketch the graph of x^2+y^2+2x-6y-6=0.
I believe I have to use the hyperbola formula but I don't know how to do it.
Click here to see answer by bucky(2189)

Question 547708: Factor the following expression completely:
45y3 – 33y2 + 6y

Click here to see answer by JBarnum(2044)

Question 547699: The area of a rectangular athletic field is represented by the expression 16y^7+32y^5+80y^3 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length time’s width”) of the athletic field. Include correct units with your solution
Click here to see answer by mananth(12270)

Question 547704: Factor the expression25a^2-40ab+16b^225a^2-40ab+16b^2 into a product of binomials
Click here to see answer by mananth(12270)

Question 547705: The area of a rectangular athletic field is represented by the expression 4y^2-49z^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length time’s width”) of the athletic field. Include correct units with your solution.

Click here to see answer by mananth(12270)

Question 547491: Write a polynomial function in standard form with zeros at 5, -4, and 1.

Click here to see answer by scott8148(6628)

Question 548247: Explain why the graph of x2 + y2 - 4x + 2y + 5 = 0 is a single point.
Click here to see answer by solver91311(16885)

Question 548276: Write and graph an equation for the parabola that has vertex (-1, 3) and passes through the point (-2, 1). Remember: y= a(x-h)2 + k
Click here to see answer by lwsshak3(6505)

Question 548197: Find the minor axis vertices of the ellipse.16x^2+4y^2+64x+24y+36=0
Click here to see answer by lwsshak3(6505)

Question 548049: write an equation of the ellipse with the given characteristics and center at (0,0)
vertex:(0,6)
co-vertex:(-3,0)
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Question 547160: Identify the vertices, foci, and assymptotes and graph
X^2/9 - y^2/9 = 1
Click here to see answer by lwsshak3(6505)

Question 546684: Given the focus of the parabola (0,-6), and the directirx y=6, find the equation of the parabola.
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Question 546682: Given the vertex of a parabola (-4,5) and the focus (-6,5), find the equation of the directrix.
Click here to see answer by lwsshak3(6505)

Question 546679: Write the equation of the hyperbola given the foci (2,-3) and (2,7), and the vertices (2,-1) and (2,5).
Click here to see answer by lwsshak3(6505)

Question 546677: Write the equation of the ellipse centered at the origin given a focus (0,2) and a vertex (0,3).
Click here to see answer by lwsshak3(6505)

Question 548404: I have an astronomy program that provides information on known comets. They provide only two pieces of information: Perhelion and eccentricity.
I have gone through a number of books and web pages both for astronomy problems and math problems trying to find out how to find out the length of the major axis.
I am not very good at working with advanced math (though I have studied some that I needed to use). Please help me with this. Thank you
Click here to see answer by stanbon(57347)

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