()- ()-, Write the equation of the hyperbola in standard form y - k = 1 a 9. 3+ 2 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 4 6. 7 8 -1 -2 -4 -5+

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and…

A:

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

A:

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: Identify the quadratic surface of the equation 6x? + 3y? + 222 + 24x – 6y – 12z + 39 = 0 Choose an…

A: Given, 6x ^ 2 + 3y ^ 2 + 2z ^ 2 + 24x - 6y - 12z + 39 = 0

Q: Find the location of the center, vertices, and foci for the hyperbola described by the equation.…

A: Properties of Hyperbolas Solution:

Q: Find the vertex of the parabola by applying the vertex formula h(a) = 6a?+ 16 O (1/12, 385/24) (0,…

A: First I have written the formula of vertex of a parabola and then by using the formula find the…

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: 20 (0, 3) %23 -4-2 2468 4 to (3,-6) Write the standard form of the equation of the parabola shown at…

A: From given vertex write the standard form of equation of parabola and than satisfy the given point…

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: (-3,3) 76543 (-3,2) -6-5-4-3-2-1 -2 -3 4 2 3 4 5 6 7 (2, 4)

A: This is a downward parabola so vertex is the top most point on the parabola

Q: Graph the hyperbola. 2 9x²-y²=9 14 12- 10- (8-

A: Please refer to the image below l