Find the vertex, focus, and directrix of the parabola, and sketch its graph. (x - 3)2 - 2(y + 5) = o (x, v) -(|| vertex focus (x, v) -( directrix 15t 15 10- 10 10

Q: Consider a horizontal parabola of the form ay² + by + c = x where a = 0, and whose graph contains…

A: We have to find the equation of horizontal parabola  ay2+by+c=x The graph contains the points -1,3.…

Q: Find the vertex, focus, and directrix of the parabola. y² + 2y + 16x + 33 = 0 (x, y) = vertex focus…

A: The given equation of parabola is:             y2+2y+16x+33=0⇒ y2+2y+1+16x+32=0⇒…

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: equation of the parabola  x-h2=4ay-k

Q: Find the equation of the parabola in standard form and general form which satisfies the given…

A: We have given some key point about parabola, we have to find, equation of parabola.

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 19…

A: Since, the directrix is parallel to x-axis. The equation of the parabola is given by : x2 = 4ay…

Q: Find the vertex, focus, and directrix of the parabola. x2 = 5y vertex (x, y) = ( (x, y) = ( focus…

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

A: Standard form of equation of parabolla is given by :x-h2=4ay-kThe distance between 0,2&8,2 is…

Q: Find an equation of the parabola that has a focus at (2, 16) and a vertex at (2, 8): Y = Find an…

A: Parabola is a U-shaped curve and it is part of a conic section.  The focus of the parabola is the…

Q: 5) Find the vertex and axis of symmetry of the parabola with focus F(7/2,3) and directrix line…

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Q: 4. Water is draining out of a horizontal pipe, which is 2m above the ground. The trajectory of the…

A: As per our guideline we are supposed to answer only one question. Please repost remaining questions…

Q: Parabolas with axis parallel with the y-axis and with distance from vertex to focus fixed as a. Ans.…

A: The given problem is to find the differential equation for the given parabolas with axis parallel…

Q: Please help! Draw the parabolas on a grid Parabola 1: Draw the parabola with vertex of (-2, 4) and…

A: As per bartleby guidelines we only give first question answers.

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

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Q: Directrix 2. Find an equation of the parabola from the given graph -2

A: Vertex is midpoint of perpendicular distance between focus and directrix

Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

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Q: HRIS Of Symmetry and vertex (With Technology) Mar 31, 7:58:0O PM Find the coordinates of the vertex…

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Q: Determine the axis of symmetry of a parabola with directrix x = -6 and vertex at (7,4). Determine…

A: Let's find.

Q: Describe the graph of the equation. r =-18i+(1-j+:k O Itisa parabola in the plane: = -18, with…

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Q: a. Show that the points (2, 9), (−1, −6), and (−4, −3) are not collinear by finding the slope…

A: a) Use the slope formula to find the slope between (2, 9) and (−1, −6)

Q: A parabola has a vertex at the origin and a focus of (0, 7/4). What is the equation of the parabola.

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Q: A parabola can be drawn given a focus of (-8, 6) and a directrix of y = 0. What can be said about…

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Q: Water flowing from a suspended garden hose to the ground follows a parabolic path, with the hose’s…

A: The given situation represents in the xy-plane and let (0,0) be the origin, that represent the…

Q: 4) Find the equation of the parabola with the following properties: • the vertex is (4, 4), • it has…

A: Please refer the attached image for complete solution.

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

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Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: A parabola has a directrix of y = " and a vertex located at (1, 4). %3D What are the coordinates for…

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

A: Given vertex at origin and focus (0,3.7) So a=3.7 We need to find the equation

Q: Consider a horizontal parabola of the form ay² +by+c = x where a 0, and whose graph contains the…

A: Given: A horizontal parabola ay2+by+c=x, where a≠0 and whose graph contains the points -1, 3, 2, 4…

Q: A parabola can be drawn given a focus of (7, –3) and a directrix of y = 9. Write the equation of the…

A: on solving this we get the

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. v= -12x vertex (x, y) -…

A: we have to find the following

Q: A parabola has a focus located at (-2,-4) and a directrix of y = -5. %3D What are the coordinates…

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Q: Identify the vertex of the parabola: y = -4(x - 2) 2 - 3. (2, 3) (-2, -3) (-2, 3) (2, -3)

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Q: Find an equation of the parabola with vertex (4, 2) and directrix y=−1

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Q: Consider a horizontal parabola of the form ay² + by + c = x where a 0, and whose graph contains the…

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Q: (Part II) Graph the parabola from Part 1. 22 --20y %3D

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Q: 3. parabola, 4. How can we determine whether a parabola has a vertical or a horizontal axis? 5. How…

A: 4) If x is squared then the parabola is vertical ( i.e. vertical axis parabola) If y is squared then…

Q: IV. Find an equation of the parabola given the following conditions: 10. Vertex (-3, 2), directrix x…

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Q: Vertices at (0,1) and (0, -1); asymptotes are the lines x = +3y

A: It is given that the vertices of the hyperbola are (0,1) and (0,-1) and the asymptotes are x=±3y.…

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (0, 16),…

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Q: – 2² - Graph the equation y = -x + 8x must plot 5 points including the roots and the vert vertex of…

A: Given query is to Plot nthe perabola and find the vertex.

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: The standard equation of the parabola is (x-h)2=4a(y=k) Where (h,k) is the vertex Here h=3, k=-2…

Q: 2 12- Greph the parabola defmel by the equation ×+2X+ダ Label the Vertex axis and in tercepts ·

A:

Q: the asymptote of the hyperbola given by x^2/9-y^2/4=1 has the equation

A: Let us consider the standard form of hyperbola  x2a2-y2b2=1 The asymptote of the given equation is…

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

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Q: What is the equation of the parabola whose focus is at the origin ?(0,0) and whose directrix passes…

A: To sketch the parabola whose focus is the origin and directrix passes through the points (−4,0) and…

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 2 The…

A: Given the parabola has its vertex at the origin and has directrix y=-12 .

Q: a) Detemine the equation of the hyperbola having the equations of asymptote y = 3D7x, conjugate axis…

A: Consider the given: The standard form of the equation of a hyperbola with center 0,0 andtransverse…

Q: Determine the standard form of equation of a parabola give its parts and properties. 1. Vertex at…

A: Given that: 1. Vertex is at origin and DL at x=52. F(3,3) and V(3, 6)3. F(-2, 6) and DL at y=-2