- Two hyperbolas that have the same set of asymptotes are called conjugate. Show that the hyperbolas -y = 1 and y? - y² = 1 _and 1 4 are conjugate. Graph each hyperbola on the same set of coordinate axes.

Q: Graph each hyperbola. Identify the center, veetices, and points. (x-1)^2/9-(y-3)^2/4=1

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Q: Determine the directrix and axis of symmetry of a parabola with vertex (4,-2) and focus (4,4)

A: The distance between the vertex and the focus is same as the distance between the vertex and the…

Q: What is the standard equation of a hyperbola?

A: Our Aim is to tell the standard equation of a hyperbola.

Q: Graph the hyperbola 16x^2−32x−4y^2−24y−84=0, noting the center, vertices, cover-tices, and foci.

A: The given equation of hyperbola is 16x2-32x-4y2-24y-84=0. Convert the equation of hyperbola into its…

Q: -16 + -12 -8 -4 20 94 16- 12+ 8 4 -8- + -12+ -16+ 4 8 12 + + 16 20

A: y2=7x

Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: The line passing through the vertex that divides the parabola into two symmetric parts is . The two…

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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: State the asymptotes for a hyperbola.

A: To Determine: State the asymptotes for a hyperbola. Given: we have a hyperbola  Explanation: A…

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…

Q: Write the equation of a parabola given vertex 2,4 and point 8,0. And please identify the focus.

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Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

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