What is the standard equation of the hyperbola with vertices (-2, 8), (8, 8 and focus (12,8)? (x – 3)² (y– 8)² 1 (x +3)2 (y-8)² 25 56 25 56 Option 1 KID Option 2 (x-3)2 (y-8)2 1 %3D 16 56 Option 3

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: 20+ y 16 12 -10 -8 -6 -4 8 10 ---- - -8- -12 -16- +20- Identify a and b for the hyperbola with…

A: We can clearly see that y = 2x and y = -2x are eqn. of asymptotes of hyperbola. (y-2x)(y+2x) are…

Q: Find the equation of the hyperbola with vertices (- 2, 1) and (6, 1) and foci (- 3, 1) and (7, 1) .

A: First we find centre.

Q: 7) What is the equation of the parabola below? (-1,3) (4,0) -5 A) y= -(x+ 1)2 + 3 B) y 1)2 - 3 C)…

A:

Q: Find the equation of the hyperbola with vertices (-7,3) and (1, 3) and foci (-11, 3) and (5,3).…

A: Vertices   -7,3 and     (1,3)Foci                -11,3     and   5,3

Q: Find the equation of the hyperbola with vertices (-2,5) and (-2, 1) and foci (-2, 12) and (-2,-6).…

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: Determine the vertices of the hyperbola. (y - 3)2 - (x + 5)2 = 1 4 9 (х, у) %3D (smaller y-value)…

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Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

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Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: Determine the equation of the hyperbola of focuses (1,-1) and (1,3) and one of the vertices (1,2).

A: If we plot the focuses and the given vertices we get that the equation of the line passing through…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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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: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

A:

Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

Q: A parabola has equation (x- 4)2 = 8(y + 3) - Determine the coordinates c its focus

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Q: A hryperbola is defined by the equation x? - y? - 2x - 4y - 4 - 0. Its center is at the point (-1,…

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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: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

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

Q: The center of the hyperbola y = 5± ( (x+ 6)2 -36 )0.5 is Select one: ( 6,-5) None (-6,-5) (-6,5) (…

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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