Find the standard equation of the parabola with vertex (0,0) and focus (0,3). In which direction does the parabola open?

Q: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

A: Given :              Vertex (4,2) and focus (4,6)       Since the vertex and focus have common…

Q: Find an equation of the parabola with focus (-2,-5) and directrix y=3

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Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…

A: To find the standard equation of parabola  Given Axis is parallel to y-axis Parabola passes through…

Q: Determine the equation of the hyperbola of focuses (1,-1) and (1,3) and one of the vertices (1,2).

A: If we plot the focuses and the given vertices we get that the equation of the line passing through…

Q: Write an equation in standard form for a hyperbola with center at (4, 0), vertex (10, 0), and focus…

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Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: Determine the coordinates of the vertex (label V) and focus (label F) and the EQUATION of the…

A: standard form of the parabola ( x - h )2 = -4a( y - k ) where vertex = ( h , k ) Focus = ( 0 , -a )…

Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

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Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…