Check the equation of a hyperbola that satisfies the data below: • asymptotes: Y =±¿x • b=4 Choose an option: =1 56 * =1 8xy – 4x – 4y +1 = 0 O - 36 *- * = 1 2² – = 1 O (z-6)² (y–4)² 16 O (z-2)² (y+3)² 4

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

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Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

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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: Find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown 2x? +…

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Q: The parabola y=(x-)+1 has its fous at (2-3). 76 Determine and State of the the equation directiex.

A: Consider the equation of parabola: y=-116x-22+1To   solve,y-1=-116x-22x-22=-16y-1…

Q: The focus of the parabola defined by the equation x2 = 20 y is %3D (4, 5) (0, 0) O A. В. (0, 5)| (0,…

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Q: 3. Where do the asymptotes intersect for the hyperbola y = ( 2x +3 ) / ( 8x +5 ) O ( 3/8 , 2/5 ) O…

A: Given : Hyperbola y =2x + 38x + 5   To find the asymptotes.

Q: Consider the parabola C: z-4 = -(x - 2)² on the rz-plane. 1. Find the center-radius form of the…

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Q: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: x2 Find equations of both tangent lines to the graph of the ellipse . = 1 that pass through the…

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Q: 14. Which equation represents the given O y = -4(# – 4)² + 5 1= +(7 – 4)2 + 5

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Q: State whether the equation x² + ()² + 6z² = 1 defines O a hyperboloid of two sheets. O a paraboloid…

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Q: Quadratic: y=" fincl Hhe 2irent graph and Parent dH ributes

A: Given that y=x2 Parent functions are the simplest form of functions.  The parent graph of the given…

Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

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: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: =D1 4 = 1{-5<x<5}

A: Given equation is The equation of given hyperbola is horizontal hyperbola

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

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Q: Write an equation for the parabola

A: Find the equation of parabola from the given data .

Q: Find all points where the parabola y = 9 - x² 1 intersects the line y = zx+6. 2

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Q: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

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Q: (2x-y (22) + (x+2)- 3 = 1.

A: Given: Equation of the ellipse: Objective: To find the area of the interior of the ellipse.

Q: 3. Complete the table for each parabola Equation Y= -0.4(x-2)2 Y = 3(x + 5) 2 + 3 Direction of…

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Q: 3. Let W = √u+v². Find 2³ W du² dv

A: The function is given by W = u+v2 To evaluate: The expression of ∂3W∂u2∂v

Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: Find an equation of the hyperbola with vertices (0, -4), (0, 4) and asymptotes y = ±x. Select one:…

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Q: help in 30mins pls

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