Find the focus and directrix of the parabola given by y2 = 12x. Then graph the parabola.

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

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Q: Give the standard equation of the parabola with focus (-3,0) and directrix x=3

A: Standard equation of parabola is y2=±4ax Given that focus of parabola is (-3,0) and directrix is…

Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: Write an equation for the hyperbola that has foci at (0,1113) and (0,- 113), and asymptotes y = +…

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

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Q: Find the standard form of the equation of th parabola with: and Focus (-2, 6) Directrix X = 8

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Q: Find an equation of the parabola whose graph is shown. y Directrix X = 4

A: Equation of directrix is  X=a

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

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Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4.

A: Since, directrix is vertical use equation of parabola that opens up or down.     (x-h)2 = 4p(y-k)…

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 23.12x=y^2

A: Given: The parabola is 23.12x=y2.   Calculation: Comparing with y2=4ax, we get 4a=23.12a=5.78…

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: Determine the equation of a parabola with focus at (0,5) and directrix y=5

A: Given, The parabola with focus at 0, 5  and directrix is y=5 We have to find the equation of the…

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

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Q: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…

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Q: Find the focus and directrix of the parabola y2 = 10x.

A: given: the equation of the parabola: y2=10x

Q: Find the equation of the parabola with a vertex at (2,1)  and focus at (2,3). Explain how to graph…

A: Topic:- parabola

Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

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Q: Find an equation for the parabola with focus (0, -4) and directrix y =

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

A: Focus lies on x-axis.

Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)

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Q: find the equation of the parabola with the given properties. Vertex (0, 0), directrix y = −5

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

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Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.

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Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…

A: Given  Focus (0 , -1/2)  Directrix ,y = 1/2   Equation of parabola with focus at (x0 , y0) and…

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: find the equation of the parabola with the given  Focus (2, 0), directrix x = −2

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

Q: Write the Equation of the parabola: Focus: (0,5), Directrix: y= -3

A: We have to find the equation of parabola

Q: Write the equation of the parabola with the focus at (−4, 0) and the directrix is x = 4

A: Given that Focus (-4,0) and the directrix is x=4 and we find equations of parabola.   Here i…

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 15.6x = y?

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Q: Find the standard form of the equation of the parabola. Focus at (0, 4), directrix y = -4

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

A: Given:

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

A: The equation of parabola:

Q: For the parabola -24x = y² find, the focus, directrix, focal diameter, %3D

A: Given data: The given equation is -24x=y2. The standard equation of the parabola is, y2=-4ax Compare…

Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

Q: Find the focus and directrix of the parabola y = -x2, and sketch the graph.

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

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Q: help in 30mins pls

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Q: Find an equation of the parabola with focus (-6, -3) and directrix x= 4. ロ=ロ

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

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Find the vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

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Q: The parabola has focus (0,-2) and directrix y=2.

A: equation of parabola with focus ( a , b ) and y = c  is given as below : here a = 0 b = -2  c = 2

Q: Find an equation of the parabola with focus (15/2, 0) and directrix x= -13/2

A: The vertex will be the midpoint of (15/2, 0) and x= -13/2 So, vertex is:

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: Find the standard form of the equation of the parabola. Focus at (6, -2), directrix y = -8

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Q: Find the focus, directrix, and focal diameter of the parabola y = x², and sketch its graph.

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Q: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.