Find the equation of the parabola in standard form and general form which satisfies the given conditions a. Focus at (7,11) and directrix of x = 1 b. Vertex (-5,-7), with a vertical axis of symmetry, through the point (7,11) c. Vertex at (-8,3) and directrix of x = -

Q: Which of the following parabolas match the following graph below? O y--r+6x O y=+6x O y=-x+6 O…

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

A: To find  an equation for the parabola that has its vertex at the origin and satisfies the given…

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A: Any point at parabola is equidistant from its focus and directrix.

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: 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 y2 + 2y + 4x - 7 = 0.Then graph the…

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

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

A: Given: Focus: F0,-34 To Find: Equation of the parabola that has vertex at the origin and satisfies…

Q: Solve for the equation of the parabola described. Vertex at (2,4); focus at (2,-1)

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

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

A: If we have equation of a parabola y=a(x−h)2+k, then the vertex is at (h,k) and the focus is (h,…

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

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Q: the equation for the parabola that has its vertex at the origin and has a focus at (0, 3.6).

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Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given the focus of parabola is -3,5 and directrix is y=-1.

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 described Vertex at (8,-5)(8,−5); focus at (8,-7)(8,−7) a)…

A: Topic- Equation of parabola

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A: Given: Opens downward with focus 10 units away from the vertex.

Q: Consider the parabola whose vertex us at (2,-1) amd focus at (0,-1). What is the general form of the…

A: Given, The vertex of the parabola = 2, -1  Focus of the parabola = 0,-1 We have to write the general…

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A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

A: Given:             y2+2y+4x-7=0 Parabola standard equation 4px-h=y-k2 is the standard equation for a…

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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…

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A: The standard equation of the parabola is given as y2=4ax . This parabola has symmetry about the…

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A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

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Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

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Q: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

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A: Given: Vertices V±3, 0 , asymptotes y = ±2x To find: The equation of hyperbola that has center at…

Q: Given a parabola with vertex at (8,-4) and focus at (-4,-4), determine the equation of the parabola.…

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Q: Find the equation of the parabola whose focus is at (-1,-1) and directrix is the line 2x+3y-1=0

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A: Given thatthe vertex of the parabola at the origin and focus is(0, -1/2)

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A: find the equation of a parabola vertex=(0,0) and directrix x=-4

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

A: Solution Given V=(0,0)F=(a,0)=(5,0)To find the equation of the parabolaFormula:y2=4ax

Q: The equation of the family of parabolas with vertex and focus on the x-axis where h and k are…

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Q: Find the general form and graph of the focal width of a parabola is 14 units and its vertex can be…

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Q: What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x =…

A: Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

Q: A parabola has a focus located at (2, 1) and a directrix of y =-3. What are the coordinates for the…

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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 for the parabola that has its focus at the (−394,−4) and has directrix at x=−254

A: Focus of the parabola is -394, -4 and directrix is x=-254. Now, Focus=-394, -4⇒h+p, k=-394,…

Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: Find the equation of the parabola with the following properties. Express your answer in standard for…

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Q: Write the equation for a parabola with a focus at (-6,0) and a directix at x=-2

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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: Determine the equation and sketch the graph the parabola given focus at (12, 3) and directrix at x =…

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