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

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Question 975398: For the following hyperbola:
(x + 1)2 � (y � 3)2 = 1
16 9
Find: a)Center :___________
b)Vertices:___________

___________
c) Foci: ___________

___________

d) Asymptotes: (list separately)
_________________
_________________

Click here to see answer by lwsshak3(11628)

Question 975420: Given the ellipse: 9x2 + 4y2 + 18x - 48y + 117 = 0
a) Put the equation in standard form

b) Horizontal or vertical major axis?

c) Find center, vertices, foci,
length of major and minor axes,
and eccentricity
d) Sketch a graph of this ellipse.

Click here to see answer by Boreal(15235)

Question 975429: Given the hyperbola: 9x2 � 54x � 16y2 + 64y � 127 = 0

a) Put the equation in standard form.

b) Horizontal or vertical transverse axis?
c) Find center, vertices, foci, and the
equation of both asymptotes.
d) Sketch a graph of this hyperbola.

Click here to see answer by lwsshak3(11628)

Question 975428: Given the ellipse: 9x2 + 4y2 + 18x - 48y + 117 = 0
a) Put the equation in standard form

b) Horizontal or vertical major axis?

c) Find center, vertices, foci,
length of major and minor axes,
and eccentricity
d) Sketch a graph of this ellipse.

Click here to see answer by lwsshak3(11628)

Question 975688: Find the equation of the families of circles of radius 1 and centers on the line y=x
Click here to see answer by Alan3354(69443)

Question 975728: 9x�+2=1
Click here to see answer by rothauserc(4718)

Question 975746: 1. Find the equation of the families of circles of radius 1 and centers on the line y=2x
2. Find the equation of the families of circles of radius 1 and centers on the line y=2x+3

Click here to see answer by Alan3354(69443)

Question 976252: a one-way road passes under an overpass in the shape of half and ellipse, 30ft high at the center and 20ft wide. Assuming a truck is 12ft wide, what is the tallest truck that can pass under the overpass?
Click here to see answer by lwsshak3(11628)

Question 976438: find: a. center b. vertices c. foci d. extremities of the minor axis e. equation of the directrices f. eccentricity g. graph of the ellipse
81x^2 + 4y^2 - 324x + 24y + 324 = 0
Click here to see answer by Boreal(15235)

Question 976497: How many lines with a slope of -1 are tangent to the circle
Click here to see answer by Alan3354(69443)

Question 976573: x2 y2=25
Click here to see answer by Alan3354(69443)

Question 977422: Calculate average rate of change for the function f(x)=-x^4+4x^3-2x^2+x+1, from x:0 to x:1.
Click here to see answer by MathLover1(20850)

Question 977422: Calculate average rate of change for the function f(x)=-x^4+4x^3-2x^2+x+1, from x:0 to x:1.
Click here to see answer by stanbon(75887)

Question 977420: Using graphing technology graph x^4-7x^3+12x^2+4x-12. Identify for which values of x the graph is increasing.
A. X:-3 to x:-2
B.x:-2 to x:-1
C. X:1 to x:2
D. X:2 to x:3
Click here to see answer by stanbon(75887)

Question 977426: Given function x3+2x2-3x-5, what is the resulting function when fx is shifted to the right 1 unit?
Click here to see answer by FrankM(1040)

Question 977426: Given function x3+2x2-3x-5, what is the resulting function when fx is shifted to the right 1 unit?
Click here to see answer by solver91311(24713)

Question 977442: Describe end behavior of the function f(x): 3x^32+8x^2-22x+4. Use graphing technology.
A. Down on left, down on right
B. Down on left, up on right
C. Up on left, down on right
D. Up on left, up on right
Click here to see answer by Fombitz(32388)

Question 977648: Find x intercepts with vertex -3,-14 and y intercept 0,13
Click here to see answer by josgarithmetic(39618)

Question 978021: Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = �3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = �3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences.
Click here to see answer by josgarithmetic(39618)

Question 978020: You are having a meeting with the CEO of a soda company. You have interpreted the number of cans of soda produced versus profit as the function P(x) = x4 − x3 − 11x2 + 9x + 18. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).
Click here to see answer by josgarithmetic(39618)

Question 978043: My question is how to I put h(x)=4x^2+3x+6 in standard form. I can't complete the square unless the coefficient of the x^2 is a one. I can't pull out anything. How would I go about this problem? Thanks in advance.
Click here to see answer by solver91311(24713)

Question 978022: In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.
Click here to see answer by solver91311(24713)

Question 978623: A parabola has an x intercept at 2, its axis symmetry is the line x=4 and the y coordinate of its vertex is 6. Determine the equation of the parabola. How do I begin to solve this? There is a hint y-r=a(x-t)^2. Not sure how to use that.
Click here to see answer by josgarithmetic(39618)

Question 978850: write the equation of the circle with center (4,3) which is tangent to the y axis
Click here to see answer by Boreal(15235)

Question 978905: Find the x intercept of the parabola with vertex (-4,2) and y intercept (0,-30). Write the answer in this form (x1,y1) (x2,y2) . Round to the hundredth if necessary.
Click here to see answer by Fombitz(32388)

Question 978909: Find x intercept of the parabola with vertex (1,245) and y intercept (0,240). Write the answer in this form (x1,y1),(x2,y2) if necessary round to nearest hundredth.
Click here to see answer by josgarithmetic(39618)

Question 979271: The graph of y = 2x^2-12x+18 is a parabola that opens in the direction _________. It has vertex _____________, y-intercept _____, and __________real roots.
Click here to see answer by 6567891151(12)

Question 979283: find the center of the hyperbola described by the equation:
(x+ 4)^2/36 - (y+ 1)^2/16 =1
Click here to see answer by fcabanski(1391)

Question 979287: Identify the vertices of the hyperbola
(x + 4)^2/9 - (y -1)^2/16 = 1.
I think the center is (-4,1) but I don't remember how to find vertices
Click here to see answer by jim_thompson5910(35256)

Question 979289: determine the type of conic by the equation
y^2 + y = x^2 + 2x
Click here to see answer by josgarithmetic(39618)

Question 979289: determine the type of conic by the equation
y^2 + y = x^2 + 2x
Click here to see answer by MathTherapy(10552)

Question 979291: find the focus of the parabola that has the vertex (-3, 2) opens horizontally and passes through the point (-10, 1)
Click here to see answer by MathLover1(20850)

Question 979290: I am stumped.
Determine the type of conic without graphing:
y + xy - y^2 - x^2 = 5x + x^2 - y^2
Click here to see answer by solver91311(24713)

Question 979355: find the focus of the parabola that has the vertex (-3,2), opens horizontally, and passes through the point, (-10,1).
I can get to 4p= -1/7 but get stuck there trying to get the focus.
Click here to see answer by rothauserc(4718)

Question 979420: A parabolic arch must have a clearance of 40 ft above the water and a
span distance of 160 ft.
(a) Find an equation which models this shape, using the x-axis to represent the water ground.
(b) Find the height from the base of the arch spanning 20 ft.
Click here to see answer by solver91311(24713)

Question 979286: find the standard equation for the hyperbola with the given characteristics:
center (1, 2)
one vertex (1, 18)
one focus (1, -18)
Click here to see answer by Edwin McCravy(20056)

Question 979635: Find an equation of the ellipse that has a center (-4,3) a minor axis length of 10 and a vertex at (-4,-5)
Click here to see answer by Boreal(15235)

Question 979639: find an equation of the ellipse having a major axis of length 12 and foci at (1,2) and (-3,2)
Click here to see answer by Edwin McCravy(20056)

Question 979651: 1. Find an equation of the ellipse that has center
(−2,5) a minor axis of length 2 and a vertex at
(−4,5)

2. Find an equation of the ellipse having a major axis of length 6 and foci at
(6,3)and (2,3)
.
Click here to see answer by zuproc66(2)

Question 979666: Find an equation of the ellipse that has center
−2,5
, a minor axis of length
2
, and a vertex at
−4,5

Click here to see answer by Boreal(15235)

Question 979667: Find an equation of the ellipse having a major axis of length
6
and foci at
(6,3)
and
(2,3)
.
Click here to see answer by Edwin McCravy(20056)

Question 979949: x^2+12x+y^2+4y+31=0 find the radius and center,how do I go about doing this
Click here to see answer by josgarithmetic(39618)

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