2) Find the equation of the parabola defined. Find the two points that define the latus rectum, and graph the equation. Vertex at (-1,-2); Focus at (0, –2)

Q: Find the vertex, focus, and directrix of parabola with the given equation x2 + 16y = 0. Then graph…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±7), vertices: (0,…

A: We have to solve above hypobola question

Q: ind the equation for the graph of the hyperbola with vertices at (0, 2) and (0, -2) and one focus t…

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Q: Find the focus and directrix of the parabola with the given equation y2 - 6x=0. Then graph the…

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Q: Find the vertex, focus and directrix of the parabola given by (x - 2)2 = 4(y + 1)..Then graph the…

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Q: Find the focus and directrix of the parabola with the given equation x2 = -16y. Then graph the…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+5, 0), vertices:…

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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 the focus and directrix of the parabola with the given equation y2 = -12x. Then graph the…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (y + 3)2 = 12(x + 1).…

A: Given equation (y+3)2= 12(x+1)     →(1)eqn (y-k)2= 4p (x-h) →  (2)where (h,k) = VertexFocus = (h+p ,…

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

A: To sketch the graph

Q: II. Determine the vertex, focus, and the length and endpoints of the latus rectum. State the…

A: Given that: 12. (y+1)2=x-413. y2+x-10y+17=014. -x2-6x+y-4=0     NOTE: As per our answering…

Q: Find the vertex, focus, and directrix of the parabola with the given equation (y + 1)2 = -8x. Then…

A: given (y+1)2=-8x

Q: Find the vertex, focus, and directrix of the parabola with the given equation (x - 2)2 = 8(y - 1).…

A: Given: x-22=8y-1. for finding vertex, focus and directrix we compare given equation of parabola with…

Q: In Problem ,find the equation of the parabola described.Find the two points that define the latus…

A: A parabola is a figure which is formed by the locus of all points which have the same distance from…

Q: 6. Find the focus and directrix of the parabola x = -12y, and sketch its graph.

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (x + 2)2 = 4(y + 1).…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

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Q: Find the focus and directrix of the parabola with the given equation y2 = 16x. Then graph the…

A: Given: y2=16x we know that for given equation of parabola y2=4ax focus and directrix is given by…

Q: Find the focus and directrix of the parabola given by x2 = -8y. Then graph the parabola.

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Q: Identify the directrix, focus, and vertex of the parabola in the figure.

A: Given that: Graph of parabola.

Q: Find the focus and directrix of the parabola given by x2 = -12y.Then graph the parabola.

A: The given equation of parabola, x2=-12y The equation is of the form x2=4ay,  Compare both the…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Find the focus and directrix of the parabola with the given equation y2 - 6x = 0. Then graph the…

A: Given equation of the parabola is: y2 - 6x = 0 y2 = 6x  y2 = 4 . (3/2) . x  Therefore the focus of…

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

A: Solution: Consider the equation of the parabola: x-32 = 12y+1 Therefore, it can be rewritten in the…

Q: Find the vertex, focus, and directrix of parabola with the given equation y2 = 8x. Then graph the…

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Q: 1. Give the focus and directrix of the parabola with equation x? indicate the focus, directrix,…

A: Given: x2=10y

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

A: In general with respect to XY axis , we have four types of parabolas . Here we have an open leftward…

Q: 6. Find the equation of the parabola in standard form with focus at (7, -6) and vertex 5 units at…

A: As vertex is 5 units to the right of the focus , the coordinates of the vertex is 7,-6+5,0 = 12,-6…

Q: Find the vertex, focus, and directrix of parabola with the given equation (y - 2)2 = -16x. Then…

A: we have to find the vertex, focus and directix of parabola with the given equation y-22=-16x. then…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±13), vertices:…

A: Given that, Foci: 0, ±13 Vertices: 0, ±4 This hyperbola is the type where the line drawn to its…

Q: Find the vertex, focus, and directrix of the parabola with the given equation (y + 4)2 = 12(x + 2).…

A: The given equation of parabola is y+42=12x+2 To find vertex, focus and directrix of the parabola

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,…

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Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. x - 2x + 8y + 9-0…

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Q: In Exercises Include the endpoints of the latus rectum in sketch the graph of the given parabola.…

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

A: The given equation of parabola: x2=-3y

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

A: Given equation of parabola is: 2y2=-3x Then we get, y2=-32x⇒y2=-4·38·x The vertex of the above…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: To find the equation of the parabola described below. To find the two points that define the latus…

Q: Find the focus and directrix of the parabola given by x²=-8y.then graph the parabola.

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Q: the focus of the parabola and the directrix

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Q: ind an equation of the parabola that has a focus at (4, 7) and a vertex at (4, 6): Find an equation…

A: Topic:- geometry

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (3,…

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Q: . Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?…

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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.