What is the distance from the y-axis to the focus of the hyperbola whose equation is (y – 1)? – (z+2) 1? no correct answer O 3 units O 2 units O 1 unit O 4 units

Q: What is the standard form equation of the hyperbola that has vertices (0, +4) and foci (0, +2/1…

A: Here we have vertices of the hyperbola (0,±4) and foci 0,±213

Q: Find the general equation and standard equation of the hyperbola as described by the given…

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Q: Find the standard form of the equation of the parabola with the given characteristics. focus: (2, 2)…

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Q: Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation…

A: Here we need to find the effect of translation on parametric equation of hyprabola.

Q: 5. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? O y = (# – 1)2 +…

A: y= (1/4) *(x-1)^2 +3

Q: What is the standard equation of the hyperbola if the length of its conjugate axis is 10 v5 and one…

A: To find- What is the standard equation of the hyperbola if the length of its conjugate axis is 105…

Q: What is the equation of a parabola with focus at (2,6) and directrixx = 8? %3D O y - 12y + 12z – 24…

A: Equating distance from directrix to distance from focus gives equation of parabola.

Q: Find the equation of the conic section indicated. Parabola with focus (8, 0), directrix x = −8

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Q: 2. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? Oy = 4(a- 1)2 + 3…

A: Here, the parabola is of the form (x-h)2=4a(y-k) Whose focus is given by (h,k+a)=(1,4) given…

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: Find the equation of the hyperbola with the following properties. Express your answer in standard…

A: Given:- Foci at (6,-4) and (6.6)   Asymptotes of y - 1 = ±(3/4)(x - 6) To find:- Find standard…

Q: The eccentricity e of a hyperbola is defined as the number c/a,         where ais the distance of a…

A: Given :             The eccentricity of a hyperbola is defined as a number of ca

Q: 2+y -9 3 -2 3+ y? = 1. 62 Identify a and b for the hyperbola with equation a = b = to

A: To find 'a' and 'b' for the hyperbola shown in graph with equation x2a2-y2b2=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: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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Q: Given the general form of a parabola x2+6x-8y+10=0, what is the y coordinate the focus? (round to 3…

A: Explained below

Q: snip

A: Solution:Given       x24-y29=1To find a,b and Transverse axis.Formula:Standard form of…

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions. 4.)…

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Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2…

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Q: -10 10 -6 y? = 1. 62 Identify a and b for the hyperbola with equation - a = b = 6 3.

A: Given, The graph of the  hyperbola  The equation of the hyperbola is x2a2-y2b2=1  We have to find…

Q: What is the center of the hyperbola? (y+3)? 9. (x-2)2 =D1 2 Enter your answer by filling in the…

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Q: How many points of intersection are there between the graphs of the hyperbola and ellipse? Зx2 — 4у?…

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Q: What is the equation of a parabola with directrix x 3/2 and focus (5/2, 4)? Oy- 5=- Oz-5 = - Oy-5 =…

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Q: 22. The equation x2 + BX + y + Cy + D = 0 is: A. Hyperbola B. Parabola C. Ellipse

A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0 where A, B, C, D, E, F are…

Q: What is the directrix of the parabola? (z+3) =8 (y-1) O y= 3 O y=2 O y= 1 o y=-1

A: If General equation of parabola :  y = a ( x - h ) 2 + k  Then directrix y = k - ( 1/4a )

Q: What is the standard form of the equation of the parabola with the focus (1, –3) and the directrix x…

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Q: Q1 Write down equation of the hyperbola whose focuses are at Fi(-1, –1) and F2(1,1) having the major…

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Q: What is the equation of the standard hyperbola with vertices at (0, ±a) and foci at (0, ±c)? Choose…

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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: What is the equation of the standard hyperbola with vertices at (0, t a) and foci at (0, ± c)?…

A: Option B is correct.

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…

A: The equation of parabola:

Q: Find the equation of a hyperbola whose center is at (0,0), one focus at (5,0) and the distance…

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Q: Write the equation of the parabola with focus at (3,5) and directrix y = 3.

A: First I have written a formula of parabola with given focus and directrix, just use the formula for…

Q: Consider the parabola - 2.x? + 20x – 4y – 62 = 0 O What is the vertex of this parabola? (r, y) What…

A: The given parabola is:…

Q: What are the foci and directrices of the following hyperbola?  36x^2 −49y^2 −100 = 0

A: We have to find the foci and directric of hyperbola

Q: help in 30mins pls

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Q: 1. Marsha was completing the steps for a parabola that has a focus at (5,-2) with directrix at y =…

A: Formula:-1)Distance between two points (x1,y1) & x2,y2 is d=(x1-x2)2+(y1-y2)22)Distance of a…

Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: What are the equations of the asymptotes of the hyperbola? (z+1)* _ y-3}° (v-3)? 16 25 Enter your…

A: The equation of the given Hyperbola is: (x+1)225-(y-3)216=1

Q: 2. Find the equation of the parabola with focus (2, 0) and directrix x = -2. а. b. x' = 8y c. y = 8x…

A: Since you have asked multiple questions according to our company guidelines we are supposed to…

Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix I…

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Q: 5 - 5 = 1 49 = 1 15 49 D- =1 64 49 = 1 14 16

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

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Q: 12. Determine the equation of the directrix for the parabola 20x=y2–10y+30 а. X-20 b. y=-20 с. X3-20…

A: Question : Determine the equation of the directrix for the parabola 20x = y^2 - 10y +30.

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (2,…

A: Consider trhe focus of the parabola is 2,4 and the directrix is x=-4. Let x,y be any point on the…

Q: Find the standard form of the equation of the hyperbola with the given characteristics and center at…

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