Find the equa tion in stand ard Form, Of the parab graph the Parabola. focus (1,3), directrix units to the right oF vertex

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: Consider the provided parabola, 20x=y2 Find the vertex, focus, and directrix of the parabola. Sketch…

Q: The parabola y^2 = 8x is shifted down 2 units and right 1 unit to generate the parabola ( y + 2)^2 =…

A: (a) y2=8x ⇒4p=8⇒p=2 thus the directrix is x=-2, focus is (2,0) and vertex is (0,0).The new equation…

Q: Write the equation of a parabola in standard form from the following information: Focus (-5, 7)…

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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: 5. Find the vert ex, focus, and directrix of the parabola y? + 6y + 2x +1 = 0 and sketch its graph.

A: The given parabola equation is  y2 + 6y + 2x + 1 = 0 To find  vertex, focus and directrix of given…

Q: Graph the Parabola. Given: Vertex at (4, -5) and Focus at (4-1)

A: (x-h)2=4p(y-k) , Vertical parabola.Vertex - (h,k)Focus - (h,k+p)

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: Find an equation of the parabola whoes garph is shown.

A: To find an equation of the parabola whose graph is shown.

Q: Find the vertex, focus, and directrix for the parabola. (y + 3)2 = 8(x − 2) Vertex:…

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Q: Find the center, verticies, foci, and asymptotes of the hyperbola, and sketch its graph using the…

A: Explained below

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 vertex, focus, directrix, and focal width of the parabola. x2 = 28y

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Q: Find the vertex, focus, and directrix of the following parabola. Graph the equatio = 16y %D The…

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

A: To sketch the graph

Q: 30) Find the vertex, focus, and directrix of the following parabola. (y + 2)² = -(x – 5) %3D

A: For the given parabola  (y+2)2=-(x-5) vertex, focus and directrix is calculated by using the…

Q: The standard parabola with directrix y = −4 is translated so that its vertex is located at (4, 10).…

A: Given: The standard parabola with directrix y = −4 To find: Equation, directrix, and focus of the…

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: Write the equation into the standard form of the equation of the parabola y² – 2y = 8x – 1. Locate…

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Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

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Q: Find the focus and directrix of the following parabola and graph it. ² = -16y %3D

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Q: Match the parabola with the following equations: x2 = 2y, x2 = -6y, y2 = 8x, y2 = -4x. Then find…

A: Given graph of parabola,

Q: All parabolas concaving dowward with distance from the vertex to focus fixed, and with vertex lying…

A: The most probable graph of the equation The general form of the equation must be (x-a)2=b(-y+4)…

Q: Find the endpoints of the latus rectum of the parabola below. 1 Enter the endpoints as ordered pairs…

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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: Find the vertex, focus, and directrix for the parabola.

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Q: Write the standard equation of parabola with the focus at (-1, 2) and the vertex (1,2) Determine :…

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Q: 3+ 2 Focus: (0, 2) 1+ -1 o -1+ Directrix: y--2 -3+

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Q: Sketch the graph of the parabola showing its graph showing the vertex, focus and directrix (x + 2)?…

A: (x+2)²= -8(y-1) To sketch the graph of parabola and to show vertex, focus and directrix of parabola.…

Q: Determine the equation of the parabola that opens to the right with focus at (4,3) and one endpoint…

A: The solution of the problem is given in the next steps.

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: Find the standard form of the equation of the parabola with the given characteristics.   focus:…

A: If (a,b) is the focus of the parabola,  and directrix is y = k,then strandard equation of parabola…

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…

A: Given:

Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: Find the focus and directrix of the parabola with the given equation 8x2 + 4y = 0. Then graph the…

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Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

Q: find the equation, in standard form, of the parabola of the specified features. directrix: y = -5,…

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Q: 3+ 2 Focus: (0, 2) 1+ -3 -2 -1 o -1+ -2- Directrix: y= -2 -3+

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Q: (у + 3)? 38. (x – 5)² = 1 225 64

A: The given hyperbola is y+32225-x-5264=1

Q: Determine the equation of the parabola opens to the right with focus at (4,3) and one endpoiny of…

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Q: 6.) Find an equation of the parabola in standard from given the following information: a.) Focus:…

A: Solve for parabola equation

Q: Find an stondoud 'form the directrix is o x= -3 and the focus is eavotion of the parabola in (2,0)

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Q: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

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: Consider the parabola y = 4 – 22. Find the coordinates of the point P on the parabola in the first…

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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: Use the information provided to write the vertex form equation of each parabola. 2) Vertex at…

A: here we have vertex:0,0,    focus:0,18 here x-coordinate is the same for both points so the parabola…