45. y? = 4x, left 2, down 3 46. y? = -12x, right 4, up 3 47. x? = 8y, right 1, down 7 48. x? = 6y, left 3, down 2

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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Q: The vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the…

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Q: Find an equation for a parabola with vertex (5, 6) and focus (5, 1) Question Help: Video 1 D Video 2…

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Q: Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (-10, 6), (4, 6). =1…

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Q: 14- 5y'+ 8x + 30y - 54 = 0

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Q: find the equation of the parabola with the given  Focus (−2, 0), vertex (2, 0)

A: We have to consider the parabola with vertex V whose coordinates with respect to XOY system is 0,0…

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

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Q: 21. Which equation represents a parabola with a vertex (-3,2) and focus (-3,5)? O y = -32? – 2x + 5…

A: Parabola question

Q: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

A: Given :              Vertex (4,2) and focus (4,6)       Since the vertex and focus have common…

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

A: From the given diagram, it is clear that vertex, (h,k) = (2,6) and the distance from x-axis is p=2…

Q: _6. Write the equation of the parabola with vertex (4, –2) and focus (4, 4). A. (x – 4)² = 16(y + 2)…

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Q: Graph the parabola. y? = 4x 12 10- 6+ 4+ ? -12 -10 -6 -4 -2 10 12 -2- -6. -8- -10 -12+ og

A: Given curve is a parabola  We have draw the graph of parabola.  Given parabola is a type of opening…

Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: Find the equation of the parabola described Vertex at (8,-5)(8,−5); focus at (8,-7)(8,−7) a)…

A: Topic- Equation of parabola

Q: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

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Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given:To Find the standard equation of a parabola that has a vertical axis and lineformula of…

Q: 3. Write an equation for the parabola with focus (1, 3) and vertex (0, 3). a. y = 4(x – 3)² b. y =…

A: Given:      focus =1,3      vertex =0,3  The focus and vertex are horizontally aligned, so the…

Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

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Q: sketch a graph of each parabola. Label the coordinates of the vertex and the equation of the axis of…

A: Solution: The objective is to find the vertex and the axis of symmetry

Q: ises 17–30, find the equations of the parabola

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Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…

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Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 Vertex…

A: The equation of a parabola in vertex form: y=(x-h)2+k  Where the vertex is at (h,k) and the focus is…

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: Given information: The vertex of the parabola is 2,-4 and the points is -2,44. Calculation: The…

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

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Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-4, 2) focus…

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Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−4,2),…

A: Let the vertex V (-4,2) of the given parabola is left to the focus F(-4,-1) of the parabola. The…

Q: Write the equation of a parabola whose directrix is æ = 4.5 and has a focus at (13.5, 4). Preview

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Q: 10. Find an equation for the parabola with vertex (0, 0) and focus (4, 0).

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Q: ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

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Q: Find an equation of a parabola that satisfies the given conditions. vertex (0,0), focus (2,0)

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Q: 15. 20y - 3 - 40y + 12x = 52

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Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Write the equation of a parabola whose directrix is y=7.5 and has a focus at (−3,8.5)

A: Parabola is the locus of all those points which is equidistant from both Directrix and focus. let…

Q: Determine the equation of a parabola with vertex at (2,-3) and focus at (2,0). Then graph the…

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Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: Find an equation of the parabola (in general form) given the following condition: Vertex (5, 2),…

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Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: GIven information: The vertex of the parabola is -3,4 and the point is 0,13. The general equation of…

Q: d. Find the equation of the vertical parabola that passes through the points: A = (6, 1), B = (-2,…

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Q: Vertices at (0, 4) and (0, -4); passes through (6, 5)

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Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(1, -2), Focus F(1, 0)

A: Given that - Vertex V = 1,-2Focus F = 1, 0We see that x coordinate is same here that means, focus…

Q: Find the standard form of the equation of the parabola that has a vertex at (1,-3) and passes…

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