An arch in a church, having a parabolic shape, has a height of 28 feet and a base width of 34 feet. Find an equation which models this shape, using the x-axis to represent the ground. State the focus and directrix. and give the graph.

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: Consider the provided parabola, 20x=y2 Find the vertex, focus, and directrix of the parabola. Sketch…

Q: Find the standard form of the equation of a circle with center (-1,1) and radius v2. Graph the…

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Q: Write the equation of a parabola in standard form from the following information: Focus (-5, 7)…

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Q: Ferris Wheel The High Roller observation wheel inLas Vegas has a maximum height of 550 feet and a…

A: It is given in the question that the maximum height of the wheel is 550 feet and  the diameter of…

Q: Find an equation of the parabola whose graph is shown. y Focus

A: In this problem , parabola symmetric about y - axis . Vertex form of parabola if symmetric about y -…

Q: Use the graph shown to answer:If 4p = -28,then the equation of the directrix is______ .

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Q: Graph the ellipse and the foci. 64 x Clear 6 Undo A Redo

A: we have to draw the graph of the ellipse

Q: The equation x? + y² = ? makes what kind of graph? O parabola O circle O curve O line

A: topic - conic section

Q: Write the equation of a parabola whose directrix is y = 0.25 and has a focus at (-1, - 2.25).

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Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

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Q: Reduce each equation to a standard form and describe the curve completely. If the curve is a:…

A: The standard form of the circle is: (x-h)2+(y-k)2=r2 where (h,k) is the center and r is the radius…

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: An artist bends a long plank of wood into the shape of a parabola. The horizontal distance between…

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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, plot and graph: the vertex, focus, endpoints of the focal chord, and equations of the…

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

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Q: Analyze each equation. That​ is, find the​ center, vertices, and foci of each ellipse and graph it.…

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Q: Graph each ellipse. Identify the center, vertices, co-vertices, length of major axis, length of…

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: Use the fact that the orbit of a planet about the Sun is an ellipse,with the Sun at one focus.The…

A: The formula to calculate aphelion is given below: Aphelion=2×Mean Distance -Perihelion   The…

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

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Q: Find a Cartesian equation for the curve and identify it as either a hyperbola, circle, limaAson,…

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

A: We have to find the equation of parabola

Q: Graph the parabola y2 - 2x - 2y - 5 = 0. Give the location of the focus and the directrix.

A: We have to graph the parabola and we have to give the location of the focus and the directrix where…

Q: State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 4x² – 3x – 8y?…

A: x2-3x-8y2-4y=14 The x2 and y2 terms have different signs and different coefficients. So, it is a…

Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

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Q: Find the vertex, focus, and directrix of the following parabola. Graph the equation. (x – 2)? = 4(y…

A: Given equation of parabola, (x-2)2 = 4(y-3) Standard equation of parabola : (x-h)2 = 4p(y-k) Where,…

Q: Convert the equation to rectangular form and sketch its graph. p? = sec? Otan 0

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

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Q: Write an equation for a parabola with each given focus and directrix. a. Focus: (5, 2); Directrix:…

A: Topic:- geometry

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

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Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

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 standard form of the equation of the parabola using the information given.  Focus:(0,13);…

A: Given: Focus:(0,13); Directrix: y = -13

Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: Write the equation of a parabola in standard form from the given information Focus at (-5,7)…

A: Since , focus lies on x-axis Therefore , equation is either y2=4ax or y2=-4ax Now focus has negative…

Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: the focus of the parabola and the directrix

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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: 1 2 X= (y+7)¯-1 2

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Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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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…

Q: Using the given equation, identify the center and the measure of the radius, the graph in the sketch…

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Q: Use the information provided to write the vertex form equation of each parabola. 2) Vertex at…

A: here we have vertex:0,0,    focus:0,18 here x-coordinate is the same for both points so the parabola…

Q: Find the vertex focus focal width and equation of the axis for each parabola. y^2+8y+4-6x+0

A: Given: y2+8y+4-6x=0 for finding given values, first we convert given equation in standard form of…

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

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Q: Sketch the graph of the equation.

A: Given equation is y=-4cot2x-π2

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.