The graph of the equation x²=4cy is a parabola with focus F(_,_) and directrix y=____ . So the graph x²=12y is a parabola with focus F(_,_) and directrix y=___.

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: Which graph shows the hyperbola given by the equation - GH - 1? %3D

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Q: Find the standard form equation of the parabola with the given characteristics and a vertex at the…

A: Topic = parabola

Q: Find an equation for the hyperbola whose graph is below. The standard form of the equation is Ay

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the left-right…

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

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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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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 graph of the equation y = 4px is a parabola with focus F(L.) and directrix x = %3D So the graph…

A: We know, The equation y2=4ax represents the equation of the parabola , with Coordinates of focus…

Q: The graph of the equation x2 = 4py is a parabola with focus %3D F( -) and directrix y = So the graph…

A: Given, x2=4py

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

A: Here the vertex of the parabola is at origin. Focus of the parabola is (9/2, 0). Since the focus is…

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

A: The standard equation of the parabola is x=14f−hy−k2+h where, h,k is the vertex and f,k is the…

Q: An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

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

A: To sketch the graph

Q: A parabola can be drawn given a focus of (-4,-6) and a directrix of y = 0. Write the equation of the…

A: The given focus is -4,-6 and the directrix is y=0 of a parabola. The main objective is to write the…

Q: Use a graphing utility to graph x2/4 - y2/9 = 0. Is the graph a hyperbola? In general, what is the…

A: The given equation is x24-y29=0. Sketch the graph of the above equation as shown below.

Q: Use vertices and asymptotes to graph the hyperbola x2/9 - y2/25 = 1. Locate the foci and find the…

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Q: Graph the hyperbola x2/9 - y2 = 1. Give the location of the foci and the equations of the…

A: Given equation of hyperbola is x29-y2=1 The given hyperbola can be written as: x29-y21=1 Standard…

Q: Find the standard form of the equation of the parabola with the given and vertex at the origin.…

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

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Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (±1, 0),…

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Q: Question1. Find the vertex of the parabola, y = f(x) = -3x2 + 6x + 3. %3D Inntationa for

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Q: Find the vertex, focus, and directrix of the parabola x2 + 4x + 4y − 4 = 0, and sketch its graph.

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

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

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Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

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 in standard form with focus at (7, -6) and vertex 5 units at the…

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Q: Find an equation of the parabola with vertex at (-2.3) and focus at (0.3) . Graph the equation.

A: A parabola is a conic section obtained on slicing a right circular cone by a plane parallel to the…

Q: A hyperbola has vertices (±3,0) and passes through the point P(5,2). Find its equation, the foci and…

A: Given: The vertices are 3,0 and -3,0. Passes through the point P(5,2). The objective is to find…

Q: Use graphing software to graph the function. Select a viewing window that reveals the key features…

A: y^2 - 16x^2 = 1 is a vertical hyperbola. Using a graphing calculator we graph y^2 - 16x^2 = 1.

Q: A parabola has a vertex at the origin and a focus of (0, 3). What is the equation of the parabola.

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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 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: A parabola can be drawn given a focus of (0, 10) and a directrix of y = -4. Write the equation of…

A: Given,           Focus is 0,10 and directrix is y=-4.

Q: The asymptote of the hyperbola given by -=1 has the equation x2_ y? 4 2x – 3y = 0 3x – 2y = 0 Option…

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Q: A parabola has a focus located at (-2,-4) and a directrix of y = -5. %3D What are the coordinates…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y = +x,…

A: given asymptotes y =±x  the center of the given hyperbola is (0,0) the asymptotes will be given by…

Q: Point A(2; 3) is the intersection point of the asymptotes of the hyperbola, а h(x) = x - P A(2:31|

A: To find : The equation of the parabola , p(x)

Q: Graph the hyperbola y2/9 - x2 = 1. Give the location of the foci and the equations of the asymptotes

A: Equation of hyperbola  y2a2-x2b2=1           ...(1) Then foci = 0,±c, where c=a2+b2 Equation of…

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

A: The hyperbola has y-intercepts, so it has a vertical transverse axis. The standard form of the…

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: Vertices at (0,1) and (0, -1); asymptotes are the lines x = +3y

A: It is given that the vertices of the hyperbola are (0,1) and (0,-1) and the asymptotes are x=±3y.…

Q: The focus of the parabola x2 =  8y is

A: I am going to find the focus of the parabola by comparing it with the standard form of parabola.

Q: the asymptote of the hyperbola given by x^2/9-y^2/4=1 has the equation

A: Let us consider the standard form of hyperbola  x2a2-y2b2=1 The asymptote of the given equation is…

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

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Q: Find the equation of a parabola with the given characteristics. vertex at (0,0); focus at (-10,0)

A: Given:- Vertex (0, 0) , focus(-10, 0)  To find:- Standard equation of parabola

Q: 3 (a) Express the equation of the parabola y' -8x-4y-20 0 in standard form. Hence, find the vertex,…

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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.