1. Find the focus and directrix of the given parabola then sketch a graph: y - 4y + 3x +1 = 0.

Q: Which is the equation of a parabola with focus (0, 5) and directrix y= -5?

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Q: The focus of the parabola y^2 = 4x is at

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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…

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

A: The standard equation of open downward parabola having vertex at (h, k) and focus at length “p” from…

Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

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

Q: 4. Find the focus, directrix and vertex of the parabola (x + 2)2 = 3y - 6, then sketch the curve.

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Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

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Q: I. Find the equation in standard form of the specified hyperbola given the following conditions.

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Q: Find the focus and directrix of the parabola given by y2 = 8x.Then graph the parabola.

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Q: Find the standard form of the equation of a parabola with focus (5,0) and directrix x = -5,shown in…

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Q: 2. Find the equations of all horizontal parabolas whose focus is the center of the ellipse 9a? +17y²…

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Q: Sketch the graphs of the parabolas (a) x² = 12y (b) y² + 8x = 0 and show the focus and directrix of…

A: If we have parabola in the form of  x2 = 4ay, which is a upward parabola    Then equation of…

Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (0,…

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Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

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…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

A: Consider the following values: Focus=9,0Diretrix⇒x+9=0 Standard form of the equation of the…

Q: Find the equation of the parabola with focus at (5, 0) and directrix x = −5.

A: Focus lies on x-axis.

Q: 17. If the focus of the parabola is (-2, 1) and the directrix has the equation x + y = 3 then the…

A: Given Focus of parabola f (-2, 1) Equation of directrix is x+y =3   Here the objective is to find…

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix x…

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Q: 9. Find the standard form of the equation of the parabola with a focus at (-3, 4) and directrix y =…

A: the vertex of the parabola will be at the midpoint of (-3,4) and y=2  That is Vertex= (h,k)=(-3,3)…

Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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Q: Find the center, foci, vertices, and eccentricity of the hyperbola                         ( y +…

A: y+32225-x-5264=1⇒y--32152-x-5282=1 Now comparing with y-k2a2-x-h2b2=1, we get k=-3, h=5, a=15 &…

Q: Refer to the picture. * 1. Sketch the graph of the following hyperbola. y (x-2)* = 1 9 а. 16 (x+3)?…

A: Solution of the given problem

Q: Find the equation of the parabola with focus (8,0) and directrix x -8

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

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Q: find the focus, directrix, and focal diameter of the parabola, and sketch its graph  a. x= -8y² b.…

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

A: Given :

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (6,5)…

A: We have given,The focus of a parabola is (6,5) and the directrix is x=-4We need to find the equation…

Q: What is the standard form of the equation of the parabola with the focus (1, –3) and the directrix x…

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Q: 'ind a path in R² whose image set is: (a) The circle with radius 4 and center at (-1, 3). (b) The…

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Q: Find an equation of the parabola in standard form: with focus at F(7,-1) and directrix 6 units from…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: given, focus (0,15) directrix y=-15

Q: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.

A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.

Q: Find the standard form of the equation of a parabola with focus (8,0) and directrix x = -8.

A: Focus is, a, 0=8, 0⇒a=8 Directrix is x=-8.

Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

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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: 2. Write the equation of the parabola x+ 6x+8y = 7 in standard form and identify the a) vertex, b)…

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Q: Find a Cartesian equation for the hyperbola centered at the origin that has a focus at (3, 0) and…

A: The focus is 3,0 c,0=3,0∴c=3 Also the directrix x=ae=1                           ∴a=e Now…

Q: 1. Marsha was completing the steps for a parabola that has a focus at (5,-2) with directrix at y =…

A: Formula:-1)Distance between two points (x1,y1) & x2,y2 is d=(x1-x2)2+(y1-y2)22)Distance of a…

Q: Find an equation of the parabola that satisfies the given conditions.Focus F(6, 4), directrix y = -2

A: Given: Focus F(6,4) directrix y=-2 To find: the equation

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given:Focus0,20Directix y=-20Parabola:x-h2=4p y-k

Q: B. Find the general form of the equation of the parabola: 1. With focus Fat (2,7) and directrix e: y…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (7,…

A: Parabola: The focus of the parabola is (7,1) Directrix of the parabola is y=-9. The equation of…

Q: Find the vertices and foci of the ellipse. x2 = 1 3 4 vertices (х, у) 3D ) (smaller x-value) (х, у)…

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Q: Picture of question is attached.

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Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (1,…

A: Given: A rough sketch of the parabola shall be as follows:

Q: Sketch the graph and find the foci of the given hyperbola a. 4x2-9y2=36

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