Find the equation of the parabola described below. Find the two points that define the latus rectum, and graph the equation. focus at (1,0), vertex at (0,0) The equation of the parabola with vertex (0,0) and focus (1,0) is. (Use integers or fractions for any numbers in the equation.)

Q: Give the equation of the directrix of the parabola with the equation x= - (v+3)². Blank 1 Blank 1…

A: Given query is to find the equation of the directrix for the parabola.

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: We need to find the equation of the parabola with vertex at (0,0) and focus at (4,0). We also need…

Q: Find the vertex, focus, directive, and focal diameter of the parabola. Sketch the parabola.  x^2 +…

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Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: y2-4y-2x-4=0 On simplification, we get ⇒y2-4y=2x+4⇒y2-4y+4=2x+4+4⇒y-22=2x+8⇒y-22=2x+4⇒y-22=2x--4 Now…

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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Q: find the equation of the parabola with the given properties. Vertex (0, 0), focus ( 1/12 , 0)

A: The locus of points whose distance from fixed point is equal to its distance from a fixed line ,…

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: We have equation of the parabola : x2+20y=10 We have to find the vertex, focus and directrix of the…

Q: For the parabola with focus at (1, -3) and vertex at (-3, -3), find: a) The equation of the parabola…

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Q: Find the vertex, focus and directrix of the parabola given by (x - 2)2 = 4(y + 1)..Then graph the…

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Q: . Write the equation into the standard form of the equation of the parabola: x2 + 4x – 4y = 0.…

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Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

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Q: Find the focus and directrix of the parabola with the given equation y2 = -12x. Then graph the…

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Q: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

A: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

Q: Find an equation of the parabola that has a focus at (6, 11) and a vertex at (6, Find an equation of…

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Q: Find the equation of the parabola that has a focus at (3,11)(3,11) and a vertex at (3,6)(3,6): The…

A: Given focus of the parabola 3,11 and a vertex of the parabola 3,6 We have to find the equation of…

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (6,…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (y + 1)2 = -8x. Then…

A: given (y+1)2=-8x

Q: The equation of a parabola is 12y = (x – 1)´ – 48 . Identify the vertex, focus, and directrix of the…

A: Parabola

Q: Find the vertex, focus and directrix of the parabola given by (x - 3)2 = 8(y + 1).Then graph the…

A: Vertex form of a parabola y=a(x-h)2+k Where vertex is (h, k) focus os (h, k+p) where p=14a And…

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+1)² =2(x- 5)

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Q: Find the equation of the parabola with the given properties Vertex (0,0), focus (5, 0). = x

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Q: Find the focus and directrix of the parabola given by x2 = -8y. Then graph the parabola.

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Q: Find the focus and directrix of the parabola given by x2 = -12y.Then graph the parabola.

A: The given equation of parabola, x2=-12y The equation is of the form x2=4ay,  Compare both the…

Q: The equation of a parabola is 12y=(x−1)2-48. Identify the vertex, focus, and directrix of the…

A: Topic:- geometry

Q: Find the vertex, focus, and directrix of parabola with the given equation x2 - 4x - 2y = 0. Then…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Vertex: (2,…

A: Given: Vertex is (2, -3) Focus is (2, -5)

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: The equation of a parabola is 12y = (x – 1)´ – 48 - 1)

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Q: Find the vertex, focus, and directrix of parabola with the given equation y2 = 8x. Then graph the…

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Q: Find an equation of the parabola with the given properties. Vertex at (0, 0), focus at (1/24, 0).

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Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: In general with respect to XY axis , we have four types of parabolas . Here we have an open leftward…

Q: Find the vertex, focus, and directrix of parabola with the given equation (y - 2)2 = -16x. Then…

A: we have to find the vertex, focus and directix of parabola with the given equation y-22=-16x. then…

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

Q: Find the equation of the parabola with the given information. Find the two points that define the…

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Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Find the focus, directrix, and axis of (y - 2)2 = -8(x + 3). Then graph the parabola to scale.

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Q: Sketch the hyperbola, and label the vertices, foci, and asymptotes. x² -9 y² +4x+18y-7=0 Find an…

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Find the equation in standard form of the parabola described. Vertex at (- 4,5); focus at (- 3,5)…

A: Vertex of the parabola is -4, 5 and focus is -3, 5. Now vertex is, h, k=-4, 5⇒h=-4  &  k=5 &…

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. x - 2x + 8y + 9-0…

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Q: Find an equation of the parabola that has a focus at (5, 10) and a vertex at (5, 8): y = Find an…

A: The given focus and vertex of the parabola are (5, 10) and (5, 8) respectively. It can be easily…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: To find the equation of the parabola described below. To find the two points that define the latus…

Q: Find the vertex, focus, and directrix of the parabola with the given equation (x + 2)2 = -8(y + 2).…

A: x+22=-8y+2 Comparing with x-h2=4py-k, we get h=-2, k=-2, 4p=-8⇒p=-2 Now vertex is, h, k=-2, -2 Focus…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Write an equation of the parabola with vertex (0, 0) and directrix x = 2. An equation of the…

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Recall that the equation of hyperbola with horizontal transverse axis is given by x-h2a2-y-k2b2=1…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.