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

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Question 805950: Find the value of a, given that the maximum value of f(x)=ax^2 +3x-4 is 5.
I'm very confused on how to do this problem. Please help!
Click here to see answer by lwsshak3(11628)

Question 806230: For which point (x,y) on the curve y=1-x^2 is the sum x+y a maximum?
I have no idea how to do this problem. Please help!
Click here to see answer by solver91311(24713)

Question 806430: What is the Solution to y^2-49=0?
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Question 806785: I have some more practice workbook questions I need help with. Graphing a parabola of the form y = (x-a)2 + c.
y=(x+2)^2-1
Can anyone explain what points need to be plotted?
Click here to see answer by richwmiller(17219)

Question 807605: Could you please help me write the equation of a circle with center (-3,4) and a radius of 5. I'm so confused.
Thank you so much for your help.
Click here to see answer by Alan3354(69443)

Question 807606: Could you help me to find the distance between (-2,6) and (4,-4). I appreciate any help with this.
Click here to see answer by Alan3354(69443)

Question 807604: Could you help me to write the equation of an ellipse with intercepts (-3,0), (3,0), (0,6), (0,-6). Then find the foci. I am so confused.
Thank you for your help with this problem.

Click here to see answer by lwsshak3(11628)

Question 807278: so the question says "suppose you are told that a parabola goes through the points (-7,11) and (3,11). What is th x-coordinate of the vertex? how do you know?"
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Question 807214: Please explain how to solve this step by step:
Tell which conic is identified by each equation:
1.)
3.)
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Question 804365: write an equation of a parabola with its vertex at the origin and the given characteristics
focus at (0,-2)
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Question 808233: please help me solve this question: Determine if line y=6x=12 intersects the ellipse x^2/25=y^2/9=1.give the coordinates of the point of intersection if applicable
Click here to see answer by Alan3354(69443)

Question 808919: Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the functions
f(x)=x^2+6x+5
and
f(x)=4(x+2)^2-6
How do you do this?

Click here to see answer by lwsshak3(11628)

Question 809712: I need help finding the information for the Quadratic Equation.
y= -3/4(x+4)^2-6
I need to find:
Vertex: (-4,-6) is what I believe it is because h and k are the vertex
Axis of Symmetry: I know that x=h so would the axis be -4?
Direction of Opening : Down is what I believe it is because A is negative
Minimum or Maximum:
Value of Minimum or Maximum:

Click here to see answer by richwmiller(17219)

Question 809848: a hyperbola has a transverse axis of 6 and is centered at (-1,3). which equations below could be the one for this hyperbola?
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Question 809781: Write a quadratic equation with -5 abnd 2/3 as its roots. Write the equation in the form ax^2+bx+c=0
(x-5)(x+2/3) is what I have gotten so far. I am not sure if I am heading in the right direction.
Click here to see answer by lwsshak3(11628)

Question 809783: Graph Y > x^2-4x+5
Would I change this to vertex form to find the vertex? How do I find the points to graph?
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Question 810134: How do I put x^2+20x+103 in vertex form?
Click here to see answer by richwmiller(17219)

Question 810496: Can you please help me solve this question determine in a hand calculation the parabola with focus (o,o) and directrix x+y+1=0. what is its vertex? plot the parabola indicating vertex, focus and directrix. thank you
Click here to see answer by Edwin McCravy(20056)

Question 810566: Give the equation of a circle with center of (-6, 0) and a radius of 10.
Click here to see answer by richwmiller(17219)

Question 810570: Given the ellipse with equation:(x-5)^2/16+(y=1)^2/25=1
Find the center, the length of the minor axis, the length of the major axis, and tell if it is oriented left/right or up/down.
Click here to see answer by stanbon(75887)

Question 810827: the vertex of a parabola is at(2,-4). when the x value is 3, the y value is -1. what is the coefficent of the squared expression in the parabolas equation
Click here to see answer by erica65404(394)

Question 810846: the vertex of this parabola is at (-2,-3)when the y value is -2 and the x value is -5 what is the coefficient of the squared term in the parabola's equation?
Click here to see answer by erica65404(394)

Question 810858: Graphing Quadratics - Algebra 2
y= x^2-2x+2
i need to find out:
Axis of symmetry:
Vertex:
Max or Min:
y-intercept
and 5 points so i can graph the parabola
Click here to see answer by richwmiller(17219)

Question 810856: graphing quadratics - Algebra 2
Click here to see answer by josgarithmetic(39618)

Question 810856: graphing quadratics - Algebra 2
Click here to see answer by richwmiller(17219)

Question 811456: Write the standard equation for the circle that passes through the points:
(1, 7)
(8, 6)
(7, -1)

Click here to see answer by richwmiller(17219)

Question 811490: discribe and sketch the conic x^2+4y+8x+4=0
Click here to see answer by stanbon(75887)

Question 812162: A goalie kicks a soccer ball with an upward velocity of 65 feet per second, and her foot meets the ball 1 foot off the ground. The quadratic function h=16tsquared + 65t + 1 represents the height of the ball h in feet after t seconds. Approximately how long is the ball in the air?
Click here to see answer by richwmiller(17219)

Question 812446: x^2 +y^2 +6x -2y-6=0 graph the circle
Click here to see answer by ewatrrr(24785)

Question 812335: The foci of a hyperbola are F1(-20,0) and F2(20,0). The difference between the distances from any point, P(x,y), on the hyperbola, to its foci, is 24. Determine the equation of the hyperbola.
Click here to see answer by lwsshak3(11628)

Question 811916: Find an equation (s) of the parabola (s) with horizontal or vertical axis, vertex (2,-3) and containing (6,-1).
Click here to see answer by lwsshak3(11628)

Question 812542: y=5x^2-7x+3 find the vertex and x intercepts
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Question 811585: What is the parabola in vertex form that has a vertex of (-2,6) and passes through the point (0,12)?
Click here to see answer by lwsshak3(11628)

Question 811552: Write an equation for a parabola with a vertex being (1,6) and x-intercepts being (-3,0) and (5,0).
Click here to see answer by lwsshak3(11628)

Question 811230: 16x squared minus y squared minus 128x plus 240 = 0
It's a Hyperbola identify the center, vertices, and foci.
Click here to see answer by lwsshak3(11628)

Question 812716: How do you put y=-1/1200(x-300)^2+75 into standard form?
Click here to see answer by josgarithmetic(39618)

Question 812727: If been trying to find an equation for a vertex of (1,5) with x-intercepts of -5 and 7
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Question 812207: A gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. If he has 20 meters of fence what is the largest rectangular area he can enclose?
Click here to see answer by lwsshak3(11628)

Question 812066: How do you convert the following hyperbola, x^2/.2-(y+4)^2/1=1, to general form.
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Question 812802: The vertex and focus of the parabola y^2-4x+20=0 are one focus and one vertex respectively of an ellipse whose center is the origin. Find the equation of the ellipse
Click here to see answer by Edwin McCravy(20056)

Question 812837: What type of conic section is the following equation?
4x2 + y2 = 36
Click here to see answer by ewatrrr(24785)

Question 812847: What type of conic section is the following equation?
x2 + (y - 5)2 = 12
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Question 812875: Dear Sir/Madam,
Good day! Can you please help me answer this question, I do not understand much about this topic, here is the problem:
Suppose that the orbit of a planet is in the shape of an ellipse with a major axis whose length is 500 million km. If the distance between the foci is 400 million km., find the equation of the orbit. (ellipse)
Thank you very much for your help!
Click here to see answer by ewatrrr(24785)

Question 812895: Dear Ma'am/Sir,
Good day! Kindly help me with this mathematical problem, I do not know much about analytic geometry, please help me.
Here it goes:
The endpoints of the latus rectum of a parabola are (5,k), and (-5,k). If the vertex of the parabola is at the origin, and the parabola opens downward, find
a) the value of k
b) an equation of the parabola
Thank you so much!
Click here to see answer by ewatrrr(24785)

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