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

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Question 697906: 8x^2-9/x^2+1
what are the asypmtotes of this function?
Click here to see answer by stanbon(75887)

Question 698031: graph the equation and find the vertex, focus, derectrix 4y=x^2-8x=12
Click here to see answer by Alan3354(69443)

Question 698163: equation of the parabola with vertex (-6,2)
Click here to see answer by solver91311(24713)

Question 698163: equation of the parabola with vertex (-6,2)
Click here to see answer by MathLover1(20850)

Question 698265: How do i graph y=2x^2+4 what are the steps in solving to get the vertex and the axis of symmetry and then find the parabula?
Click here to see answer by stanbon(75887)

Question 698279: I need help find the vertex, axis of symmetry, minimum or maximum value, and range of the parabola. I'm completely stumped on this topic. The formula is y=ax^2+bx+c Question: y=x^2+2x+1
Click here to see answer by MathLover1(20850)

Question 698158: what is a possible equation for a hyperbola that is centered at the origin, opens left and right and has a transverse axis of length 6
Click here to see answer by KMST(5328)

Question 698404: determine the orientation of the parabola.
directrix: x= -4; p= 1
a.opens up c. opens right
b. opens down d. opens left
Click here to see answer by lwsshak3(11628)

Question 698407: write the equation for the graph with vertex (-6,3) and focus (-6,0.25).
a. (x+6)^2=11(y-3) c. (y-3)^2=-11(x+6)
b. (x+6)^2=-11(y-3) d. (y+6)^2=-11(x-3)
Click here to see answer by lwsshak3(11628)

Question 698410: write the equaton of the parabola y=x^2-8x-87 in standard form.
a. y+16=(x-4)^2 c. y+103=(x-4)^2
b. y+87=(x-4)^2 d. y-4=(x-4)^2
Click here to see answer by MathLover1(20850)

Question 698401: determine the orientation of the parabola.
directrix: x= -3; p= 4
a.opens down c.opens up
b.opens right d.opens left
Click here to see answer by Positive_EV(69)

Question 698405: write the equation for the graph with vertex (-2,-7) and focus (1,-7).
a. (x+2)^2=12(y+7) c. (y+2)^2=12(x+7)
b. (y+7)^2=12(x+2) d. (y+7)^2=-12(x+2)
Click here to see answer by lwsshak3(11628)

Question 697619: 1/2x2-11x+96.5=0 graph from x=9 to x=13
Click here to see answer by sofiyac(983)

Question 698627: write the equation of the parabola y=x^2-18x-76 in standard form.
a. y-9=(x-9)^2 c. y+76=(x-9)^2
b. y+81=(x-9)^2 d. y+157=(x-9)^2
Click here to see answer by lwsshak3(11628)

Question 698626: solve each equation by completing the square -3x^2+18x=-30
Click here to see answer by lwsshak3(11628)

Question 698644: What conic section does the equation 9x2 + 4y2 + 36x = 0 represent?

Click here to see answer by stanbon(75887)

Question 698269: write the equation of the hyperbola with vertices (6,0) and (-6,0) and an asymptote of y=1/2x
Click here to see answer by lwsshak3(11628)

Question 697821: if x+y^2+kxy+8x-6y+9=0 represents a circle state the value of k and substituting this value of k in the equation;find the center and radius of the circle
Click here to see answer by KMST(5328)

Question 698650: Write the eqation of the parabola y=x^2+2x-10 in standard form.
a. y+1=(x+1)^2 c. y+10=(x+1)^2
b. y+1=(x+1)^2 d. y+11=(x+1)^2
Click here to see answer by MathLover1(20850)

Question 698527: how can we differentiat conic sections?

Click here to see answer by lynnlo(4176)

Question 698652: Find the equation of the circle with center (1,3) and radius of 2.

Click here to see answer by MathLover1(20850)

Question 698729: What is the x-intercept of a parabola with the vertex (-1,80) and the y intercept (0,75)
Click here to see answer by Positive_EV(69)

Question 698810: write the equation of the ellipse 4x^2+9y^2-64x+162y+949=0 in standard form.
Click here to see answer by MathLover1(20850)

Question 698810: write the equation of the ellipse 4x^2+9y^2-64x+162y+949=0 in standard form.
Click here to see answer by Edwin McCravy(20056)

Question 698889: How to factor x^2-9y^2=1 and how to factor 9x^2-4y^2=36
Click here to see answer by Alan3354(69443)

Question 698942: sketch the graph of (x+3)^2+(y-5)^2=25
Click here to see answer by MathLover1(20850)

Question 698944: graph the ellipse given by (x-5)^2/81+(y-9)^2/25=1
Click here to see answer by Edwin McCravy(20056)

Question 698978: Use the Difference of Two Squares to factor this new equation.
(x^2/9)-(y^2/16)=0

Click here to see answer by stanbon(75887)

Question 699163: Find the coordinates of the center, the foci, and the vertices, and the equations and asymptotes of the graph of each equation. Then graph the equation.
x^2-4y^2-4x+24y-36=0
Click here to see answer by Edwin McCravy(20056)

Question 699717: The equation below describes a circle. What are the coordinates of the center of the circle? (x - 4)2 + (y + 12)2 = 172
Click here to see answer by stanbon(75887)

Question 699741: This circle is centered at the point (3, 2), and the length of its radius is 5. What is the equation of the circle?
Click here to see answer by stanbon(75887)

Question 699777: what would the directrix be for the equation x=y^2-14y+25
Click here to see answer by lwsshak3(11628)

Question 699404: Find an equation in standard form for the ellipse whose minor axis endpoints are(3,-6) and (3,4) and major axis length is 12.

Click here to see answer by lwsshak3(11628)

Question 699854: I need to write this equation in standard form and I am stuck. 9x^2-y^2+8y=52
Click here to see answer by lwsshak3(11628)

Question 701798: I am in Algebra 2 currently and most things are pretty easy and I understand them well, but I'm having some trouble with parabolas, because I haven't worked on them since like 8th grade.
The equation is
y=2x^2+x
And I need it in vertex form.
Click here to see answer by lwsshak3(11628)

Question 701836: The vertex of the parabola below is at the point (2, 4) and the point (3, 6) is on the parabola. What is the equation of the parabola? A.y = 6(x - 2)2 + 4 B.y = 2(x - 2)2 + 4 C.x = 4(y - 3)2 + 1 D.y = 3(x - 4)2 + 2
Click here to see answer by stanbon(75887)

Question 701891: Hey, I need some help with these question because my teacher isn't good at explaining them, if you could answer and explain how to do the equations, that'd be awesome
1. Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (�3, 0) and co-vertex at (0, 2)

2. What is the standard form equation of the ellipse with vertices at (0, 6) and (0, −6) and co-vertices at (4, 0) and (−4, 0)?

3. What are the foci of the ellipse? Graph the ellipse: (x^2/49)+(y^2/64)=1

4. An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards long. Find an equation for the track if its center is (0, 0) and the major axis is the x-axis.

5. What is the standard-form equation of the ellipse shown?
https://www.connexus.com/content/media/642756-1172012-84226-AM-1175356098.png

Click here to see answer by solver91311(24713)

Question 702232: Please consider the rational function: f(x)=8x+1/x^2-x-6
Find all vertical and horizontal asymptotes; give the equation(s) of the lines(s) as your answer.
Click here to see answer by lwsshak3(11628)

Question 702150: An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
Click here to see answer by lwsshak3(11628)

Question 702146: A domed ceiling is a parabolic surface. FOr the best lighting on the floor, a light source is to be placed at the focus of the surface. If 5 m down from the top of the dome ceiling is 3 m wide, find the best location for the light source.
Click here to see answer by lwsshak3(11628)

Question 702058: A parabola has points at (-3,4) (1,10) and (3,8)
What is the standard form for this parabolic path?
Click here to see answer by lwsshak3(11628)

Question 702303: For the parabola of the equation y = 5x� + 20x - 7, what is the equation of the axis of symmetry

Click here to see answer by nerdybill(7384)

Question 702389:
Click here to see answer by jim_thompson5910(35256)

Question 702630: What do I do I need to give the x intercepts and and the coordinates of the vertex and sketch the graph

Here's the problem y= x^2-4x-4
Click here to see answer by stanbon(75887)

Question 702648: how do you convert this conic section into standard form? 4x^2+y^2-48x-4y+48= 0
Click here to see answer by Edwin McCravy(20056)

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