Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y- 4)² = 12(x – 1), A V1,4), F(4,4); x = - 2 V1,4), F(-2,4); x = 4 V-1,– 4), F(2, – 4); x = – 4 V4,1), F(7,1); x =1

Q: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: Sketch the parabola, and label the focus, vertex, and directrix.. (a) (y-1)=-12(x+4) (x−1)² = 2(y-2)…

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Q: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

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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: Which of the following properties satisfy the parabola with equation x² + 6x + 8y = 7 O v(3,2);…

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Q: (y-p)2²=4a(x-q)

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Q: Identify the coordinates of the vertices and foei for each hyperbola. 25 o V:(-2 + 3,0); F: (-2+4,0)…

A: we have given a hyperbola.  We have to find it's vertices and foci

Q: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

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Q: Find the equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: What is the center of the following hyperbola? (x-3)² (x + 2)² 4 A B с D (3,-2) = 1 (-3,2) (7,2)…

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

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Q: C) (y+2)2=.24(y+2x) D) (x-2)²=-24(y+4) E) (x+2)²=-24(y+2)

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Q: The orthogonal trajectory of y = ce* is a parabola of the form y = ax+b. Find the values of a & b so…

A: We are asked to find the value of a and b

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Find an equation of the hyperbola having foci at (2, -2) and (10, −2) and vertices at (5,-2) and (7,…

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Q: Find the standard form equation for a hyperbola with vertices at (3, 0) and (-3,0), that passes…

A: we have to find standard form of equation for a hyperbola with vertices (3, 0) and (-3, 0) and it…

Q: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

A: We are required to: Change the equation of parabola -2x+y2-2y-1=0 into standard form.

Q: Find the values of integers,, and c that will make the hyperbola -9x² + 4y² + ax +by+c= 0 pass…

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Q: Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7)…

A: Topic:- geometry