Refer to the picture. * 1. Sketch the graph of the following hyperbola. y (x-2)* = 1 9 а. 16 (x+3)? (y-1)2 b. 1 9

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: 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: Но 1. Find two equations of two parabolas satisfying the following conditions: a. The first parabola…

A: We need to find two equations of two parabolas satisfying the given two conditions.

Q: Graph the hyperbola. 2-4y - 8x-24y-36 = 0 14 12+ 10- 8- 4- 2- ? -14 -12 -10 -6. 6. 10 12 14 -2- 4-…

A: Graph of hyperbola

Q: 10 -9 -8 -7 -6 -5 -4 10+ H Cu Ha STI -10 1 2 3 4 5 6 yak x Write the standard equation for the…

A: The standard equation of hyperbola with transverse axis parallel to x axis is

Q: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

A:

Q: Find the equation for the hyperbola whose graph is shown. -2 y 15 10 -10 -15 y=4x 2 y=-4x

A: Consider the graph

Q: VI. Find an equation of the hyperbola given the following conditions: 7. Center (2, -1), one focus…

A: Center of the hyperbola is 2, -1, one focus is 7, -1 and one vertex is 6, -1. Now center of the…

Q: 6. Write an equation for each parabc a) (2 4) 4- 2 - |(4. 0) b) |(-3, 0) 2 0 -2 (-1, –4) 6.

A:

Q: PARENT FUN CTION ) (i) SHIFT 3 UNITB LEFT y= (2+3)2 lñi TAKE REFLEZTION IN ダーAXS -A Y= - (a+3)2 UER…

A: In this question , we can transformed the parabola by using given step.

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

A:

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: 9. Find the equation of the hyperbola, in standard form, with vertex (2,-5), focus (-1,-5) and…

A: The vertex is (2, -5), focus is (-1 -5) and the center is (5, -5). Observe that the y coordinate of…

Q: 5. Put the following equation into standard form, classify it as a circle, ellipse, hyperbola, or…

A:

Q: 10. Two corners of auxiliary rectangle at (-4,-7) and (0,0), vertical transverse axis

A: The diagram of the hyperbola having given conditions is shown below. Calculate the center of the…

Q: 13.2y – x = 4

A:

Q: Write the equation for a parabola that opens sideways, whose vertex is at (0, 2), and that passes…

A: We are required to: Write the equation of the parabola that open sideways whose vertex is at (0,2)…

Q: 2 (-V34, 0) (-3, 0) (3, 0) (V34, 0) -6 -4 -2 2 4 -2 -4

A: Given: The graph of hyperbola is: The center of the given hyperbola is 0, 0. The vertices and focii…

Q: Graph the hyperbola. (y-6)² 25 - (x-6)² = 1

A: Compare this equation with the standard equation of the hyperbola: So the center of the hyperbola…

Q: 15. 20y - 3 - 40y + 12x = 52

A:

Q: (a) ≤ – 2 = 1, or (b) ≤ – 2 = 1; the positive numbers a = and b =

A:

Q: 2.The equation of a hyperbola that is centered at (3, -1). A. 9(x + 3)2 – 16(y + 1)2 = 144 B. 9(x +…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: 1. Graph the curve of the parabola given its standard form of equation. 1. (x - 3)2 = 12y 2. (y +…

A: