Refer to the picture. * 1. Sketch the graph of the following hyperbola. y (x-2)* = 1 9 а. 16 (x+3)? (y-1)2 b. 1 9

Q: 14- 5y'+ 8x + 30y - 54 = 0

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Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: Find a function whose graph is the lower half of the hyperboloid -x2 - y2 + z2 = 1.

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Q: 10+ y -10 -8 -6 -4 10 +10+ Write the standard equation for the hyperbola graphed above. to 우

A: Given figure is : To find the standard equation for the hyperbola.

Q: 10 y 8 7- 2 io -9 -8 6- -5 -4 -3 -2 A į 3 4 $ 6 7 8 9 I0 -2 -5 -7- -8 10+ Write the standard…

A: From the image we see the vertices are (-5,-2) and (-1,-2)So the center=midpoint of (-5,-2) and…

Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: 4. Which line is the horizontal asymptote for the hyperbola y = 6/ ( x - 5 ) + 9 y = 9 X = 5 y= -6/5

A: given,     the parabola y=6x-5+9

Q: 10 y 8 16 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 I 2 3 4 56 7 8 9 I0 -2 Write the standard equation for the…

A: We draw a rectangle using the asymptotes as diagonals.  The width of the rectangle =2a= the distance…

Q: Find the point(s) on the hyperbola y^2 − x^2 = 4 that is (are) close to the point (2, 0

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Q: 10. Which is the equation of a hyperbola with co-vertices at (0, 7) and (0,-7) and a transverse axis…

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Q: transform into standard form of hyperbola x^2-y^2+6x-4y-4=0

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Q: 10- y io -8 -6 4 2 2 4 6 8 10 +10+ Write the standard equation for the hyperbola graphed above.

A: From the given graph , find the equation of asymptotes (dotted red lines) we know that the center of…

Q: 17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

A: The given equation of the hyperbola is of the type [(x-h)²/a²]-[(y-k)²/b²]=1.

Q: (y - 1)2 (x +3)2 =1? Which of the following is true about the hyperbola |- 4 9.

A: Follow the procedure given below.

Q: Find the length of a,b,c of the given hyperbola: x^2/4 - y^2/5=1

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Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: Determine the point on the hyperbola –10r2 + 2y? = 10 closest to the point (-6, 0). 20 15 10 5 -5…

A: Here we have to determine the point on the hyperbola -10x2+2y2=10 closest to the point (-6,0) .

Q: 3) A large racetrack can be modeled by the ellipse x2 + = 1, where x and y are measured in…

A: An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

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Q: I. Find the equation in standard form of the specified hyperbola given the following conditions. 3.)…

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Q: Which of the following is true about the hyperbola (y- 1)2 (x + 3)2 =1? 4. 9.

A: given hyperbola is y-124-x+329=1

Q: 9. ers 810, Consider the hyperbola with its equation x2 =y² + 9 %3D 9. What is the length of the…

A: Solve the above questions.

Q: y 10 10 -8 -6 -4 -2 2 4 6 8 10 -10 Identify a and b for the hyperbola with equation a2 y? 1. 62 a =…

A: Given : Graph is given  Points are : ( 0 , 5 ) and ( 0 , -5 ) Equation:    - x2 / a2  +  y2 / b2 = 1

Q: 2 Find the transformed equation of the hyperbola xy = 4 when rotated 45. (x')² - (y')² = 8…

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Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: How far from the x axis is the focus of the hyperbola (x^2)- (2y^2) + 4x + 4y+ 4 = 0?

A: the given equation of hyperbola is  x2- 2y2+4x+ 4y + 4 =0 it is asked to find how far is focus of…

Q: 2. Find the equation of the parabola described. a. Vertex at (4, –2); focus at (6,–2) b. Focus at…

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Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: find the equation of the given hyperbola Vertices (±3, 0) and asymptotes y = ±1/2 x

A: Since the vertices 3,0 and -3,0 have same y-coordinate, hence the hyperbola is horizontal transverse…

Q: Find the equation of the asymptotes for the hyperbola (y – 5)2 – (x + 5)2 = 36. a. y = ±x…

A: Asymptotes are the straight lines which tend to touch the curve at infinity.

Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2

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Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

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Q: Write the equation of the hyperbola with centre at (4, 2), vertex at (4, 5), one asymptote with…

A: To write the equation of the hyperbola with center at 4, 2, vertex at 4, 5, one asymptote with…

Q: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

Q: İThe hyperbola with vertices at (0, 3) and (0, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A: The objective of the question is determine the equation of the hyperbola and choose the correct…

Q: 2. Where do the asymptotes intersect for the hyperbola y = -3 / (x + 2 ) -6 %3D O (-18, 6 ) O(-3/2,…

A: A rational function will have a vertical asymptote where the denominator of the rational function is…

Q: 28. Find the directrix for the parabola. (y+ 3)2 + 8 2x x = 4 y = } 7/2

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Q: 4. Determine the equation of the upward asymptote o the hyperbola with the following equation: 16(x…

A: This question is related to asymptotes.

Q: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

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Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction…

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b)…

Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

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Q: Picture of question is attached.

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Q: 10 y -10 -8 -6 -4 -2 8 10 -5 10| of Write the standard equation for the hyperbola graphed above. to

A: Let's find equation of hyperbola.

Q: 33. Find the equation of the hyperbola whose asymptote are y = + 2x and which passes through (5/2,…

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Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: 15 y 10 5- -9 -6 -3 -5- -10- -15 Identify a andb for the hyperbola with equation 22 y2 1. 62 b D %3D

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Q: what is the graph of the equation x - y^2 - 4x^2 = 0? hyperbolic paraboloid, ellipsoid, elliptic…

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Q: 4. What is the focus of the parabola whose equation is -(y- 3)2 = (x – 2)? O A. (2, 1) OB. (0, 3)…

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