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

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

Question 370301: What is the graph for the vertex's
(1,2)
(2,1)
(3,2)
(2,3)

Click here to see answer by Fombitz(32388)

Question 370291: What is the equation of the hyperbola with foci at (1,5) and (7,5) and with vertices at (2,5) and (6,5)?
Click here to see answer by robertb(5830)

Question 370260: find the vertex the line of symmetry the maximum and minimum value of the quadratic function. F(x)=x^2-12x-3
Click here to see answer by Alan3354(69443)

Question 370310: What is the equation of a parabola with a vertex at (0,0) and a focus at (0,3)?
Click here to see answer by robertb(5830)

Question 370311: What is the equation of a parabola with a vertex at (5,2) and a directrix y=1?
Click here to see answer by robertb(5830)

Question 370308: How do you graph the following:
y+1=-1/20(x-1)^2
y+1= 1/20(x-1)^2
y+1=-1/12(x-1)^2
x+1=-1/20(y-1)^2
Click here to see answer by Alan3354(69443)

Question 370300: How do you graph the following:
y-3=-1/20(x-2)^2
x-3=-1/20(y-2)^2
y-3= 1/20(x-2)^2
x-2=-1/20(y-3)^2
Click here to see answer by Alan3354(69443)

Question 370297: How do you graph the following:
x+3=-1/24(y-2)^2
y+2=-1/24(x-3)^2
x-3=-1/24(y+2)^2
x-3= 1/24(y+2)^2
Click here to see answer by Alan3354(69443)

Question 370634: the graph of the equation below is an ellipse. what is the y-coordinate of the center of that ellipse?
(x+3)^2 / 5^2 + (y+9)^2 / 8^2 = 1

Click here to see answer by solver91311(24713)

Question 370668: In my problem I need a formula to find a length of a suspension cable of a bridge in between two towers: the distance is 4000 ft, the height of a tower 350 ft, the lowest point of a cable above the road is 10 ft
Click here to see answer by Alan3354(69443)

Question 371907: change f(x)=-16x^2+96x+25 into vertex form
Click here to see answer by Fombitz(32388)

Question 372291: Hi, could you please show me how to complete the square to find the standard form of the following equation?

I've only ever done this with one variable so I'm honestly not sure where to start. Thanks for any guidance you can provide!

Click here to see answer by stanbon(75887)

Question 372311: Hi, I have to identify the conic of the equation below and find the center, vertices, and asymptotes:

I can't find any examples like this so I'm lost here. Any help you can provide is greatly appreciated :)
Click here to see answer by robertb(5830)

Question 372448: how do you determine if a quadratic function opens upward or downward?
Click here to see answer by marcsam823(57)

Question 372619: Find the equation of the circle when the center is (-4,5) and the radius is 3
Click here to see answer by ewatrrr(24785)

Question 372618: Find the center and the radius of x^2+y^2-8x+6y+9=0
Click here to see answer by ewatrrr(24785)

Question 372620: x=2y^2-3
Find the vertx
Find the axis of symetry
Find the direction in which the parabola opens
Click here to see answer by Fombitz(32388)

Question 372868: Hi, I'm having trouble completing the square to find the standard form of the following equation.(I've only ever done this with one variable so not sure how to proceed)

Could you please let me know the steps I have to take to complete the square with two variables? Thanks for your time :)
Click here to see answer by robertb(5830)

Question 372976: X^2+7y^2-12x-13=0
This is an ellipses and I need to put it in standard ellipses form.
Click here to see answer by robertb(5830)

Question 373861: Rewrite in standard form (ellipse): 36x^2+25y^2+72x+250y-239=0
Click here to see answer by Fombitz(32388)

Question 373977: Which of the following is an equation of one of the asymptotes of the hyperbola:
3x2-3y2=48?
x-y=0
3x-3y=0
y-3x=0
x+27y=0

Click here to see answer by Edwin McCravy(20056)

Question 374149: Please help me solve the foci in this equation .
Click here to see answer by robertb(5830)

Question 374241: A cannon fires a cannonball as shown in the figure. The path of the cannonball is a parabola with vertex at the highest point of the path. If the cannonball lands d = 600 ft from the cannon and the highest point it reaches is h = 1200 ft above the ground, find an equation for the path of the cannonball. Place the origin at the location of the cannon.
1

Click here to see answer by ankor@dixie-net.com(22740)

Question 374588: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)=4x^2-16x=8 what is the vertex
Click here to see answer by robertb(5830)

Question 374780: The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. What is the equation of this circle in standard form?
Click here to see answer by jim_thompson5910(35256)

Question 374779: what is the equation of the circle that has its center at (3,-1) and passes through the point (-2,2)
Click here to see answer by jim_thompson5910(35256)

Question 375307: Please help me solve this question.
A ball is thrown vertically upward. After t seconds, it's height h (in feet) is given by the function h(t)= 104t-16t^2. What is the maximum height that the ball will reach? Do not round your answer. Height: ___ ft
Click here to see answer by nerdybill(7384)

Question 375895: I am so appreciated for helping me out these questions:
1.(x-2)(x+3)^2 OVER x^4-13x^2+36.
2. If polynomial p(x)=2x^3 -3x^2-10 has exactly one real zero r, where -1<=r<=1, which following is true: A. -1 3. Which shows a portion of graph of y= y|-|-x|| ?
4. what is x if 3x^2-2+7=0 then (x- 1/3)^2= ?
5. If y=b^x and b>1, which one is true: A log y b=x. B. log b x=y. C. another answer
6. the radian measure of angle containing x degree is: A.Pi x/180 B. Pi x/ 180. C. other answer
7.If f(x)= x^2, when x>0 and c>1, then f(x^c)= ?
8 2log10x-log10y=?
9.for x#0, if f(x)3x^2 and g(x)=1/2, then f(g(x))= ?
10 3+i/2-i = ?
11. if cotx^0=1, then x=?
12. y=x+1 and xy=2 so what x?
13. where defined tanx=?
14. If f(x)=3-2x and f^-1 denotes the inverse of f, then f^-1(o) is ?
15. what is the solution set of 2sin^2(x)-3sin(x)-2=0 where 0<=x<=2pi
Click here to see answer by Fombitz(32388)

Question 376135: How do you graph this conic section equation? (x-0)� = (y-2)

Click here to see answer by Edwin McCravy(20056)

Question 376354: What is the identity of this conic?
4x^2+4y^2-3x+2y+2=0
Click here to see answer by solver91311(24713)

Question 376355: I have to write the equation of a circle centered at the origin and going through the following points and write in standard form. Any help is appreciated.
1) (-6,-8)
2) (5,-12)
3) (-4,4)
Click here to see answer by solver91311(24713)

Question 376714: find the two values of the unknown coordinate so that the distance between the points is as given.
"how to solve this"
(1.5,2) and (0,y); distance is 2.5

Click here to see answer by rfer(16322)

Question 376961: the equation below is the circle. what is the x-coordinate of the center of the circle? (x-6)^2+(y+5)^2=15^2
Click here to see answer by Alan3354(69443)

Question 377440: I need help graphing (x+3)^2+y^2/9=1
Click here to see answer by jsmallt9(3758)

Question 377432: give the vertex of the parabola x=y^2-6y+1 and indicate whether it opens upward, downward, to the left, or to the right
Click here to see answer by robertb(5830)

Question 377515: Both the red and blue line segments stretch from the center of the circle to a point on the circle. The length of the blue line segment is 12. How long is the red line segment?

Click here to see answer by ewatrrr(24785)

Question 377632: Find the center and radius of the circle
x^2+y^2-6x+2y+6=0
Click here to see answer by ewatrrr(24785)

Question 377699: What is the length of the radius of the circle?
(x + 5)2 + (y + 7)2 = 212
Click here to see answer by Fombitz(32388)

Question 378281: I need to graph the solution set of the system of inequalities or indicate that the system has no solution. There are two equations. First equation. x^2+y^2 is less than or equal to 81. Second equation. -5x + 5y is less than or equal to -25. How do I go about doing this?
Click here to see answer by Fombitz(32388)

Question 378370: Graph
x^2/16 - y^2/4 = 1
Click here to see answer by Alan3354(69443)

Question 378661: find the vertex of this quadratic function : y=(4x+3)^2-7
Click here to see answer by Fombitz(32388)

Question 378885: find the focus of the parabola x^2+12x+2y+0
Click here to see answer by ewatrrr(24785)

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