A hyperbola is defined by the equation x2 - y2 - 2x - 4y - 4 = 0. Its center is at the point (-1, 2) (1, – 2) Option 1 O Option 2 (2, – 1) (-2, 1) O Option 3 O Option 4

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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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: 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 following parabola. Express your answer in standard form. 20 -15 -10 -5 15…

A: The standard equation of the parabola is written in the form ofy=ax2+bx+c

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

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Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

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 the equation of the hyperbola with foci (-2, 2) and (4, 2) that passes through (3, 2).

A: To find the equation of the hyperbola, we first need to determine its center.The center of a…