Determine the equation of the hyperbola, h(x).

Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

Q: Find the standard form of the equation of the hyperbola.

A: To find the standard form of the equation of the hyperbola.

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: Find the equation of the parabola with focus (-3, 0) and directrix x-3.

A:

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: Find an equation for the indicated half of the parabola.Left half of (x + 3)2 = y + 2

A: We have the given equation of parabola   the equation is (x + 3)2 = y + 2   we have to find the…

Q: Given an equation of a hyperbola in standard form, how do you determine whether the transverse axis…

A: The standard form of an equation of a hyperbola with centered at (h, k) and the transverse axis…

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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Q: Find an equation for the hyperbola shown in the figure.

A: Given,

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Find the equation of the parabola with vertex (−3,1) and y-intercept 2(or (0,2)).

A: We have to find the equation of the parabola with vertex (−3,1) and y-intercept (0,2).

Q: Find the equation of the parabola with vertex at the origin and focus F (0, 5)

A: General equation of parabola with vertex at origin and focus on y axis is x^2= 4ay.

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

A: Answer

Q: Find the equation of the directrix of the parabola y=16x.

A:

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

A:

Q: Find the equation of a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: Find the equation of the tangent to the hyperbola x2 - 4y2 = 9 at (5, 2).

A:

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

A: To find the equation for the parabola that has the vertex at the origin and satisfies the given…

Q: Find an equation for the hyperbola whose graph is below. Q 40

A: As we know that the center of the horizontal hyperbola is the midpoint of the vertices of the…

Q: Write the equation of a parabola with vertex (0,0) and directrix y =-3

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Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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Q: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis…

A: The standard form of the equation of a hyperbola with center (h, k) and transverse axis is vertical…

Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

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Q: Consider a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

A: We need to find an equation of parabola that intersects the x-axis at (-1, 0) and (3, 0). Thus,…

Q: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis…

A: Standard form of a hyperbola having centre at origin and transverse axis is a line parallel to…

Q: Use a graphing device to graph the parabola. y2 = -1/3x

A: Use the parametric form of parabola. The parametric form for the parabola of the form y2=-4ax is…

Q: Determine the standard equation of parabola X²-6x+5y=-34

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Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: Find the equation for the parabola that has its vertex at the origin and has directrix at x=−1/28..

A: The standard form of equation of parabola with horizontal axis is given by the formula, y2=4px…

Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

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Q: Find an equation of the evolute of the hyperbola y=1/x.

A: Given: The equation of hyperbola,

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

A:

Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

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Q: Find the point on the parabola * +y“ that is closest to the point (0, -3). =

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Q: Find an equation for the parabola shown in the figure.

A: Consider the provided graph,

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

A:

Q: Find the equation of the hyperbola whose asymptotes are y = 2x and y=-2x which passes thru (5/2, 3).

A:

Q: what is the equation of a hyperbola with major axis parallel to the y axis?

A: Equation of hyperbola

Q: What is the equation of the standard parabola with its vertex at the origin that opens downward?

A: we have to find the equation of the standard parabola with its vertex at the origin that opens…

Q: Write the equation of the parabola in the form y = a(x- h) + kor x = a(y - k) +h'

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Q: Find the equation of the parabola whose vertex lies at (0,-2) and directrix at x=2

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Q: Calculate y′′ for the parabola equation y2=4x.

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Q: Find the standard form of the equation of the parabola that has a vertex at (1,-3) and passes…

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Q: Find the equation in standard form of a parabola whose focus is at (-3,-2) and whose directrix is x:…

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Q: Give the equation of a parabola with vertex at the origin

A: Given that vertex at the origin to the parabolaTo find equation…