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

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Question 936512: What are the coordinates of the center, the lengths of the major and minor axes, vertices, co-vertices, and foci for each ellipse:
x^2/9 + y^2/16 =1

Click here to see answer by lwsshak3(11628)

Question 936635: What is the equation of parabola? if Directrix is y=1 Length of latesrectum is 8, opens downward. (With explanation)

Click here to see answer by ewatrrr(24785)

Question 936865: Please sketch y^2-6y-4x^2+8x-1=0
Need help finding the aymptotes of the hyperbola
Click here to see answer by Theo(13342)

Question 936967: Find the x-intercepts of the parabola with vertex (-3,16) and y-intercept (0,-20).
Write your answer in this form: (x1,y1),(x2,y2).
Click here to see answer by Fombitz(32388)

Question 937013: 4(y-2)=(x-4)^2
Click here to see answer by Alan3354(69443)

Question 937404: How to use the distance formula to find the equation of a parabola with the focus(0,-5) and directrix(y=5)?
Click here to see answer by josgarithmetic(39618)

Question 937360: Write an equation for the circle in standard form, the state the center and radius. X^2+y^2+12x=6y
When I answered this question I got (x+6)^2+(y-3)^2=2,025, but I am not sure I got the radius right. Can you explain to me how you get the correct radius? Thank you!
Click here to see answer by josgarithmetic(39618)

Question 937420: A placekicker kicks the football, which reaches a maximum height of 8 yards and lands 50 feet away. Assuming the football was at the origin when it was kicked, write and equation for the height of the football.
Click here to see answer by stanbon(75887)

Question 937308: Determine the quadratic function f whose vertex is (2,-3) and passes through (3,-1). Write answer in f(x)=ax^2+bx+c
Click here to see answer by lwsshak3(11628)

Question 937317: Find the following for the function f(x)=(x+6)^2(x-3)^2
(a) Find the x- and y- intercepts of the polynomial function f
(b)determine whether the graph of f crosses or touches the x axis at each x intercept
(c) put all the information together to obtain the graph of f
Click here to see answer by ewatrrr(24785)

Question 937418: A placekicker kicks the football, which reaches a maximum height of 8 yards and lands 50 feet away. Assuming the football was at the origin when it was kicked, write and equation for the height of the football.
Click here to see answer by josmiceli(19441)

Question 938732: While doing my homework I forgot some of the things we haven't reviewed in awhile. For example: How do you convert y^2 8y -12x 4=0 into vertex form? Then how do you find focus and directrix? Thank you for taking the time to help me.
Click here to see answer by kros(3)

Question 931378: 8x^2+16y^2=32 how do I solve this problem?
Click here to see answer by kros(3)

Question 939320: find the focus and directrix of the parabola 10y=x^2
Click here to see answer by lwsshak3(11628)

Question 939245: I need help writting the equation of an ellipse. I am given the center (-3,1) the verticies (-1,1) and (-5,1) and the coverts at (-3,0)/(-3,2)
Click here to see answer by lwsshak3(11628)

Question 939711: Hey! I am working on finding the domain and range of a relation that is not a function. The relation is: 4(x-1)^2+16y^2=32.
For domain, I have tried solving for y and got y^2=[-(x-1)^2]/(4)+2. The next step would be square rooting to get the equation under the square radical and taking that equation to put in an inequality. The problem is that the equation is negative, making it undefined over reals. The same problem occurs when solving for the range. Please help me, thanks.
Click here to see answer by MathLover1(20850)

Question 939801: a circle passes through the points A(-2,4) , B(7,7) and the center lies on the line y-x=1. Find the radius and standard equation
Click here to see answer by josgarithmetic(39618)

Question 940517: Find the center and the radius of the circle. Then graph the circle. X^2+y^2=9
Click here to see answer by Fombitz(32388)

Question 940577: the standard form of the equation of the parabola x+8=y^2-4y+4
Click here to see answer by josgarithmetic(39618)

Question 940679: Please help me find the vertices,foci amd asymptotes of each hyperbola.

Thank you.
Click here to see answer by lwsshak3(11628)

Question 940522: (X-1)^2+y^2=6
What is the center and the radius of the circle
Click here to see answer by Fombitz(32388)

Question 941321: Write the standard form of the equation of the parabola whose directrix is x=-4 and whose focus is at (2,-2)
Click here to see answer by josgarithmetic(39618)

Question 941840: find the equation of the parabola whose vertex is V (-3,3) AND WITH DIRECTRIX x3

Click here to see answer by lwsshak3(11628)

Question 942047: Find the equation of the parabola with axis parallel to 0x and passing through (5,4),(11,-2),(21,-4).
Click here to see answer by Fombitz(32388)

Question 942505: what's the equation for a graph that has the x intercepts (-2,0) and (6,0)
Click here to see answer by Fombitz(32388)

Question 943049: I'm trying to determine the equation of an ellipse in standard form, then I need to find the center, vertices, and sketch the graph. The equation is 9x^2 + 25y^2=225. I know I need to do something with completing the square but I'm not sure how to start. I've looked at all kinds of resources and haven't been able to find help. Please help! Thanks!
Click here to see answer by reviewermath(1029)

Question 943039: So I'm trying to graph a parabola. I already have an equation for it, I just need to find the vertex, and two other points and then graph it. The equation given is x^2 +3y=0....I have no idea what to do next? Please help! Thank you!
Click here to see answer by MathLover1(20850)

Question 943060: I'm trying to sketch a graph of a semicircle and determine its center points and radius. The equation is y=square root of (-12x-x^2). My book doesn't explain semicircles. Please help! Thanks!
Click here to see answer by MathLover1(20850)

Question 943079: I'm trying to graph a parabola and find its vertex and two other points. The equation given is y^2-4x=8y. I'm not sure which steps to take. Please help! Thanks!
Click here to see answer by lwsshak3(11628)

Question 943118: identify the coordinates of the center and the length of the radius in the circles
(x-5)^2+(y+2)^2=16
Click here to see answer by Fombitz(32388)

Question 943460: How do I put a parabola into standard form if they give me the equation 3x+4y^2-10y=0?? Please help! Thanks!

Click here to see answer by josgarithmetic(39618)

Question 943451: write an equation for a parabola with vertex at the point (2,1), symmetric around the line x=2, and passing through the point (3,3)
Click here to see answer by josgarithmetic(39618)

Question 943809: X^2 +4y^2 - 2x - 32y - 35 = 0 in standard form equation ellipse
Click here to see answer by MathLover1(20850)

Question 943929: I am confused on how hyperbolas open left or right, can you please explain that to me. and I have to solve these and not sure if left or right
1. 8x^2 - 10y^2 - 48x - 100y - 98 = 0
Click here to see answer by MathLover1(20850)

Question 945002: I have to write the standard form equation of this circle: Three points on the circle: (-15,-9), (1,-9), and (-15,3).
Click here to see answer by MathLover1(20850)

Question 945002: I have to write the standard form equation of this circle: Three points on the circle: (-15,-9), (1,-9), and (-15,3).
Click here to see answer by Edwin McCravy(20056)

Question 945068: Which is the equation of a parabola with focus (0, 5) and directrix y= -5?
Click here to see answer by lwsshak3(11628)

Question 945275: 28-4X-48=26X-20+30X
Click here to see answer by macston(5194)

Question 945592: Equation of the graph. The graph of all points whose distances from (4,3) equal their distances from the line x=6.
Click here to see answer by josgarithmetic(39618)

Question 945783: Find an equation of the ellipse satisfying the given conditions.
Center at (0,0), one endpoint of the major axis at (6,0), and one endpoint of the minor axis at (0,4)
Click here to see answer by BryceWalker(4)

Question 946154: Find the general form of the equation of a circle. Center at the point (5,7); tangent to the x-axis.

I keep getting the answer x²+y²-10x-14y+49=0
But the answer key lists the solution as x²+y²-10x-14y+25=0
What am I doing wrong?
Click here to see answer by Alan3354(69443)

Question 946216: which type of conic section is (x+4)^2 + (9-5)^2=16
Click here to see answer by Fombitz(32388)

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