Find the foci of the hyperbola. 2 -4x+y-16x- 32 = 0

Q: Identify the equation as a circle, a parabola, an ellipse, or a hyperbola. 16x2+9y2-98x + Sy+224 = 0…

A: Given

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

A:

Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

A:

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

Q: R.2. Given 11x - 5y? + 22x + 20y - 64 = 0, a. Write the equation of the hyperbola in standard form.…

A: (a) Use the completing square method to write the given equation 11x2-5y2+22x+20y-64=0 in the…

Q: Use the method of completing the square to rewrite the equation of a hyperbola in standard form. (y?…

A:

Q: Find the standard form of the equation of the parabola with the given characteristics.

A: From the given diagram, it is clear that vertex, (h,k) = (2,6) and the distance from x-axis is p=2…

Q: Find the focus and directrix of the parabola. 2y2 + 2x + 20y + 52 = 0

A:

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A:

Q: Find the vertex, focus, directrix, and focal width of the parabola. x2 = 28y

A:

Q: Draw the hyperbola with the equation: 3x2− 2y2+ 6x − 8y = 6.

A: the hyperbola

Q: Use the information provided to write the standard form equation of the hyperbola. a2 - y? + 14x 6y…

A: Given equation: x2-y2+14x-6y-24=0 Standard equation of hyperbola is  x+a2h2-y+b2k2=1

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4x 2−…

A: An equation has to have x2 or y2 to be an equation of any conic sections. If, in an equation neither…

Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

A:

Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4),…

A:

Q: Write the equation of the hyperbola in the form -Ar (y-k)? = 1 or - a? (y-k) (x-h)² = 1. a2 2y2 - x2…

A: See in the next step

Q: Identify the vertices and foci of the hyperbola with equation y? 652 722 The vertices are The foci…

A:

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4  We have to find vertex, focus, directrix and axis of symmetry of the…

Q: Locate the vertex, focus, directrix and axis of symmetry of the parabola y^2-5x+12y=-16.

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 Vertex…

A: The equation of a parabola in vertex form: y=(x-h)2+k  Where the vertex is at (h,k) and the focus is…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4y 2…

A: Given equation is 4y2+9x2=12. To determine whether the equation defined an ellipse, a hyperbola,…

Q: Which equation can represent the parabola in the diagram? A y = -x2 Oy=x- 3 B y= x² O y= -x – 3

A:

Q: (у + 3т)? (г — 2m)? 5m2 One of the foci of the hyperbola with equation %3D 9m2 with m > 0, is the…

A:

Q: (b) Find the evolute of the parabola y? = 4ax.

A:

Q: Write the standard form of the equation of the hyperbola given below by completing the square. x² -…

A:

Q: The equation of the parabola y' = 4ax is in the standard form. FALSE O TRUE

A: The given equation of parabola is -  y2 = 4ax

Q: Find the vertices and foci of the hyperbola below. (x + 1)² (y – 1)? 1 - 25 11

A:

Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. 9y-4x…

A:

Q: (a) Find the evolute of the hyperbola x2 _y? y? =D1 a? b2

A:

Q: Which equation represents the hyperbola graphed below? 10 2-2=1 A 5-8-1 B 3-1 C -4-1

A: Explained below

Q: Identify a and b for the hyperbola with equation a2 y? 1. 62 - a = b = %D

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

A:

Q: Find the vertex, the focus, and the directrix of the parabola. x2 + 2x - 8y - 39 = 0

A:

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

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

A: Given: 3x2−2y2+6x−8y=6

Q: Determine the standard equation of Hyperbola Show your solutions 4x²-9y²-8x-90y-257=0

A:

Q: Describe the part of a hyperbola given by the equation.

A: Given: y=94x2-16

Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: What are the coordinates of the foci of the hyperbola? (y-1)2 (a+8)2 = 1 9. 16

A: Foci = -8,6 and -8,-4

Q: Find the vertex, focus, and directrix of the parabola. y? – 4y – 2x - 4 = 0

A: The given parabola is  y2 - 4y - 2x - 4 = 0

Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…

Q: Write the equation of the hyperbola centered at (1,-4). The length of the vertical transverse axis…

A: General form of equation of a hyperbola with vertical transverse axis is,      (y-k)2a2-(x-h)2b2=1…

Q: Find the vertices and foci of the hyperbola. y2 – x² = 36 %3D

A:

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: To determine the standard equation of the hyperbola.

Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: Find the vertex, focus, and directrix for the parabola (x−1)2=−8(y−3)

A: Vertex form of parabola :  y = a( x - h)2 + k

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A:

Q: Find the directrix of the parabola.  y^2= -10x

A:

Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

A: