Graph the hyperbola by finding the center, vertices, and foci. Then use the b value to draw the box and diagonals. 8. 4x2 - 9y2 + 8x - 18y- 41 = 0 C: V: F:

Q: What is the standard form equation of the hyperbola that has vertices (0, +4) and foci (0, +2/1…

A: Here we have vertices of the hyperbola (0,±4) and foci 0,±213

Q: 21. Which equation represents a parabola with a vertex (-3,2) and focus (-3,5)? O y = -32? – 2x + 5…

A: Parabola question

Q: - For the hyperbola - = 1, the value of a is the 4 value of b is ,and the transverse axis is the…

A: The general equation of the hyperbola is x2a2-y2b2=1.Here a is the distance from the vertex to the…

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

Q: R.2. Given 11x - 5y? + 22x + 20y - 64 = 0, a. Write the equation of the hyperbola in standard form.…

A: (a) Use the completing square method to write the given equation 11x2-5y2+22x+20y-64=0 in the…

Q: Write the equation of the hyperbola centered at ( – 9, – 10). The length of the vertical transverse…

A: Explained below...

Q: Rewrite the following parabola in vertex form. x = -y? + 2y+5 Provide your answer below: 9 FEEDBACK…

A: In this question we will use basic of calculus i.e equation of parabola. Solution of the above…

Q: Identify a and b for the hyperbola with equation a? y? = 1. 62

A: (-a, 0) = (-2, 0) and  (a, 0) = (2, 0)   a = 2

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A:

Q: graph the parabola. determine the focus, vertex, and directrix  x2 = -12y  y2 = -14x  1/8 ( x -…

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Q: What are the coordinates of the vertices of the hyperbola? (z+4) (y-5)? = 1 25 4 Enter your answer…

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Q: Identify the vertices and foci of the hyperbola with equation (y – 1)?_ (x +2)² :1 4 45 Enter your…

A: We have to find the vertices and foci of the given hyperbola.

Q: 3. Classify the graph of the equation as a circle, parabola, an ellipse, or a hyperbola. (a) 16x² -…

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Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: 1. Write the equation into the standard form of the equation of the parabola: y? – 2y = 8x - 1.…

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Q: A. Given the following information about the hyperbola, find i. FOCI: (-4, 0) (4, 0); VERTICES:…

A: # we are entitled to solve one question at a time , please resubmit the other if you wish to get it…

Q: What is the center of the hyperbola? (y+3)? 9. (x-2)2 =D1 2 Enter your answer by filling in the…

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Q: Give the focus, directrix, and axis for the parabola. y2 = -32x A) (8, 0), x = -8, x-axis B (-8, 0),…

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Q: Q1) Find an equation of the following parabola and sketch it where Vertex: (3,2) and Focus:(1,2)

A: Given the vertex 3,2 and the focus 1,2 of a parabola. We need to find the equation of the parabola…

Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 Vertex…

A: The equation of a parabola in vertex form: y=(x-h)2+k  Where the vertex is at (h,k) and the focus is…

Q: (у + 3т)? (г — 2m)? 5m2 One of the foci of the hyperbola with equation %3D 9m2 with m > 0, is the…

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Q: (b) Find the evolute of the parabola y? = 4ax.

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Q: State the vertices of the hyperbola. x² _ y² 1 4 25 (x, y) (smaller x-value) (х, у) %3D (larger…

A: We will solve the following.

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: We have to find the vertex

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: Given: Corners of the reference rectangle: (8, 7), (−6, 7), (8, −3), (−6, −3); Horizontal transverse…

Q: 4. Classify the following as an ellipse, hyperbola, or parabola and sketch a graph like we have done…

A: Consider the equation, 9x2+4y2-36x-24y+36=0

Q: Convert the following equation for a hyperbola into standard form below using the transverse axis,…

A: Introduction: Standard form the hyperbola is (y-k)2a2-(x-h)2b2=1 Where center is (h,k), vertex is…

Q: Find the focus, the directrix, and the vertex of the parabola x^2 − x + 3y − 2 = 0

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Q: (a) Find the evolute of the hyperbola x2 _y? y? =D1 a? b2

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Q: What is the equation of the standard hyperbola with vertices at (0, t a) and foci at (0, ± c)?…

A: Option B is correct.

Q: Identify a and b for the hyperbola with equation a2 y? 1. 62 - a = b = %D

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

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Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

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Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: 2. Write the equation of the parabola x+ 6x+8y = 7 in standard form and identify the a) vertex, b)…

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Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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Q: Consider the parabola - 2.x? + 20x – 4y – 62 = 0 O What is the vertex of this parabola? (r, y) What…

A: The given parabola is:…

Q: Which is the equation of the parabola with focus (0, 8) and directrix y = – 8?

A: We will use the fundamental property of parabola.

Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given conditions.…

A: Given:Vertices: (4, 0), (−4, 0); Foci: (5, 0), (−5, 0)

Q: Which of the equations below also represents the parabola y=−3x^2−18x+16? (options in image)

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Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: What are the coordinates of the foci of the hyperbola? (y-1)2 (a+8)2 = 1 9. 16

A: Foci = -8,6 and -8,-4

Q: Find the vertex, focus, and directrix of the parabola. y? – 4y – 2x - 4 = 0

A: The given parabola is  y2 - 4y - 2x - 4 = 0

Q: Which one of the following conics is a parabola? A 2 +y+5 = 4x B 22 + 3 = 4x +4 C 47 – 9y? + 32x –…

A: Any equation of the form Ax2+Bxy+Cy2+Dx+Ey+F = 0 , then it forms a parabola if and only if A = 0 or…

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: 4. Classify the following as an ellipse, hyperbola, or parabola and sketch a graph like we have done…

A: Given equation is 9x2+ 4y2-36x-24y+36=09x2-36x + 4y2-24y =-369(x2-4x+4-4) + 4(y2-6y+9-9)=-369(…

Q: d. Find the equation of the vertical parabola that passes through the points: A = (6, 1), B = (-2,…

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Q: Find the vertex, focus, and directrix for the parabola (x−1)2=−8(y−3)

A: Vertex form of parabola :  y = a( x - h)2 + k

Q: (x – 4) = –12 (y + 3) - Find the vertex, focus, and directrix of the parabola.

A: The given equation is: x-42=-12y+3                                     (1)

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.