find the equations for the asymptotes. 9x2 - 18x - 4y2 - 24y - 63 = 0

Q: (x – 2)² (y – 3)² Graph: = 1. Where are the foci located? What are the 16 equations of the…

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Q: find the intercepts and the equations for the asymptotes. 25x2 - 9y2 = 4

A: Standard equation of hyperbola is :                       x2a2 + y2b2 = 1⇒25x2 - 9y2 = 4  x2252  -…

Q: Graph and locate the foci: 9y2 - 4x2 = 36. What are the equations of the asymptotes?

A: Consider the provided equation, 9y2-4x2=36 Graph and locate the foci and what are equations of the…

Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

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Q: y² For the hyperbola = 1, the asymptotes are 81 16 and

A: we have to fill in the blanks: For the hyperbola y216-x281=1, the assymptotes are ________ and…

Q: The vertex of the parabola f(r) = a? + 8a + 2 is О (-4, -14) о (-8, -14) О (-12, —14) О (-4,-12) о…

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Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

Q: Find the equation of the asymptote with a positive slope for the following hyperbola. (x + 8)? 1 (y…

A: Given hyperbola s standard equation of hyperbola : Therefore,

Q: II. Change the equation to standard form. Then find the vertices, the corners of the fundamenta…

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Q: snip

A: Given: y216-x281=1 To find the asymptotoe

Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: Y2 X² Find the center, foci and asymptotes: : 1 -

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Q: Q3) For what values of n the line y = -x + n intersects the ellipse +=1 at two poin 20

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Q: 6) The slope of a parabola y = 3x - 11a + 10 at a point P is -5. Find the y- coordinate of the point…

A: Solution is given below:

Q: Given the parabola f(X) =-X²+10x +14, find the following for this parabola: A) The value of f(-1) =…

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Q: The asymptotes for the hyperbola y -8y-16x² – 32x- 16=0 are y= ± 4(x+1)+4. True O False

A: Given,  y2 - 8y -16x2 -32x -16 = 0 .

Q: 3. Put the equation in standard form then sketch a graph indicating the foci, and asymptotes: y? –…

A: Given - y2 - 16x2 + 64x - 208 = 0 To find - Put the given equation in standard form. Sketch the…

Q: find the intercepts and the equations for the asymptotes. y2 - 9x2 = 36

A: Given equation  y2 - 9x2 = 36

Q: Graph the hyperbola. Locate the foci and find the equations of the asymptotes.

A: Given, x-2225-y+3216=1

Q: Find the vertical and horizontal asymptotes, then Graph the equation 3x-2 a) I-3 22-2x+2 b) I-1

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Q: The parabola y = mx- (m+ 1)x + 2m-1 passes through the point A(2, 9). Find the value of m. %3D

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Q: Use the vertical and asymptotes to graph the hyperbola. Find the equation of the asymptotes.…

A: We need to find the asymptotes of hyperbola to draw the curve

Q: find the intercepts and the equations for the asymptotes.4x2 - 9y2 = 16

A: GIVEN 4X2-9Y2=16 We need to find the intercepts and the equation for the  asymptotes .

Q: II. Change the equation to standard form. Then find the vertices, the corners of the fundamenta…

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Q: Graph and locate the foci: y2 - 4x2 = 4. What are the equations of the asymptotes?

A: rewriting the equation we get the equation of a conjugate hyperbola -4x24+y24=1-x2+y24=1

Q: The following illustrates an application of optimization using parabolas. A rock is tossed upward.…

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Can you assist me in answering this? (Not graded - solely for acquisitional purposes)

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Q: find the intercepts and the equations for the asymptotes. 16x2 - y2 = 25

A: Standard form of a hyperbola whose center is origin, x2a2-y2b2=1 And the equation of asymptotes are…

Q: Q1) Graph the parabola (y = X² + 4x + 3) and label the Vertex, axis, and intercepts.

A: Explanation of the answer is as follows

Q: Find the vertex, axis of symmetry and y-intercept of the associated parabola 2x2 44 f(x) Vertex Axis…

A: Formula:

Q: Graph: 4x2 - 24x - 9y2 - 90y - 153 = 0. Where are the foci located? What are the equations of the…

A: Given equations is 4x2-24x-9y2-90y-153=0. Given equation can be written as:…

Q: Find standard equation 07 the the Vertices (3,-5) and c3,1) asymptotes y=4-2x the the bypodbola with…

A: Please see the below picture for detailed solution.

Q: In the given equation 9x2 - 4y2 = 36. Find the foci and equations of the asymptotes. A (V 13,0) and…

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Q: Find the asymptotes of the folium of Descartes given by the equationx3+y3=3axy.

A: We have given the equation of the folium of Descartes;

Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is…

A: We can find the vertex as below

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

Q: Sketch the graph of 4y2- 2x2 =1. Find the foci of the asymptotes. A 0,+ 3 B 3. 0, ± D 3

A: The standard equation of the  vertical Hyperbola is: y-k2b2-(x-h)2a2=1 Where the center is at (h,k)…

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: y A -3 2 5

A: Vertical asymptotes are those lines which the curve never intersects but runs parallel to it upto ∞.

Q: Given x2 = 4py with p> 0, the parabola opens (upward/downward/left/right).

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Q: Q.3 (a) for the following quadratic equation, determine (i) which way parabola open (ii) the…

A: (3)(a) the given function is: P=90x-200-x2 (i) we have to determine which way the parabola open.…

Q: The value of th the parabola opens

A: answer is in next step

Q: What are the slopes of the asymptotes of the hyperbola y? = -1? 4 9. o + o ±을

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Q: Y? = 1 4 x? Find the center, foci and asymptotes:

A: x2a2-y2b2=1 Center, (h,k)=(0,0) Focii (h±c,k)asymptotes ±ba(x-h)+k

Q: Graph: 4x2 - 24x - 25y2 + 250y - 489 = 0. Where are the foci located? Whatare the equations of the…

A: Given equation, 4x2 - 24x - 25y2 + 250y - 489 = 0 we have to tell where are the foci located and…