3. Find the equation of the hyperbola satisfying the following condition. Show your solution (a) Center at the origin, transverse axis the x axis, contains the points (6, 4) and (-3, 1) (b) Center at the origin, one vertex at (3, 0), one asymptote is y=x (c) Has asymptotes y=t/2x, contains the point (1, 2) (d) Center at the origin, one focus at (4, 0), one vertex at (3, 0)

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: 5) Find the vertex and axis of symmetry of the parabola with focus F(7/2,3) and directrix line…

A:

Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

A:

Q: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: O Find the equation of the parabola that has its focus at (-4, 1) and its directrix x = 0.

A:

Q: Find the standard equation of the hyperbola 1. Asymptotes y=4/3x + 1/3 and y=-4/3x +41/3, a vertex…

A: Solution of the problem as follows

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Graph the parabola. ' y = (+ 2) (r – 6) Plot the y intercept both x intercepts and the vertex.…

A:

Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

A:

Q: 4) Find the equation of a parabola which has the focus at (2,9) and the directrix at x=10.

A:

Q: 8.(T) The points (-2, 7) and (4, 7) lie on the parabola defined by the equation y = 3x2 - 6x - 17.…

A: To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways)…