EXAMPLE give equations of parabolas. Find each parabola's focus and directrix. Then sketch the parabola. Include the focus and directrix in your sketch 1) y = 12x 2) x =6y 3) y = -8x? %3D

Q: Consider the equation x2 + 8x² + z² = 30, then take a cross section when x = 1. Describe the…

A: 6.     Resulting shape gives two parallel line.

Q: 3. One point on a parabola is (-9, 11). The focus of the parabola is (3, 2). 1) Write the equation…

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: To Find- Find the Standard Equation  hyperbola with vertices at -2, -4, -2, -6, foci at -2, -5, -2,…

Q: Need help please

A: To graph the equation we have to find the latus rectum.Latus recta: (h -2p, k+p) and (h+2p, k+p)(h…

Q: An equation in standard form was graphed and the value of "a" was positive. Determine the placement…

A: it is parabola

Q: Determine another point on each parabola. The axis of symmetry is x = 3. A point on the parabola is…

A: The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Q: 7. (x+1) =-8(y+ 1) Vertex: Focus: Directrix: Two Points:

A: Consider the given equation. x+12=-8y+1 The general form of the parabola is 4py-k=x-h2. Where, (h,k)…

Q: etermined if the equation is a cicle.If so, write it in center radius form. If not, describe the…

A: determined if the equation is a cicle.If so, write it in center radius form. If not, describe the…

Q: Determine the equation of the parabola using the given information. Focus (0, −3) and directix y =…

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Q: Determine the focus, directrix, axis, and direction of the parabola. Then use this information to…

A: Given : Parabola : y2 = 20x The standard equation of the parabola is : y2 = 4ax directrix at x = – a…

Q: Find the vertex, focus, and directrix of the following parabola. Graph the equation. Verify your…

A: Parabola

Q: Find the standard form of the equation of the parabola. Focus at (0, 4), directrix y = -4

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Q: Graph the equation. Determine the focus, and foci. vertex, and the equation of the directrix.…

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Q: Write the equation of a parabola whose directrix is = -2 and has a focus at (-12,-4). Question Help:…

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