4. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola and then write the equation in standard form. (y- 6)2 = 3(x +7) Circle Parabola O Hyperbola OEllipse O (y- 6)2 + (x +7)2 = 3 (z+7) = 1 (y-6)2 3 3 O(y- 6)2-7 = x

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

A: The asymptotes of a hyperbola of the form (x-h)2a2-(y-k)2b2=1 are given by the expression…

Q: Sketch the graph of the hyperbola 4x2 − y2 = 16.

A:

Q: Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (-10, 6), (4, 6). =1…

A:

Q: 14- 5y'+ 8x + 30y - 54 = 0

A:

Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

Q: Find the general equation of the hyperbola with vertices (2, 0) and (-2, 0) and focus (-4, 0)

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Standard form of the parabola is:  Where (h,k)= vertex  p= distance between vertex and focus

Q: 21. What are the vertex, focus, and directrix of the parabola with equation y = x- 6x + 15?

A: Here we have to find the vertex, focus, and directrix of the parabola with the equation y=x2-6x+15

Q: Find the standard form equation for a hyperbola with vertices at (6, 0) and (- 6, 0) and asymptote…

A: As y-coordinate of vertices is 0, transverse axis of the hyperbola is x-axis (y=0)

Q: classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. With…

A:

Q: Find the equation of a hyperbola that has vertices at (2,0) and (2,-6) and the asymptotes are…

A: Given: Vertices of the hyperbola are at 2,0 and 2,-6 and asymptotes are y=32x-6 and y=-32x, To find:…

Q: Classify the graph of the equation 25x2 − 10x − 200y − 119 = 0 as a circle, a parabola, an ellipse,…

A: On simplification, we get

Q: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 1. + 4y -…

A:

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

A: Given: Find the standard form of the equation of the hyperbola.

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: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: 12. Use vertex form to write the equation of the parabola. y= 3(x+2)° +2 y= 3(x- 2)° +2 y= 3(x- 2)°…

A: best and easiest way is one by one checking if the given option satisfy the given points (-2, 2) and…

Q: What is the equation of the hyperbola with asmptotes y=+-2/5x and a vertex of 0,2

A: The given problem is solved below in detail.

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

A:

Q: Find the equation for the graph of the hyperbola with vertices at (4,0) and (-4,0) and one focu at…

A: Given: Vertex : 4, 0 and -4, 0Focus : -6, 0 We need to find the equation of the hyperbola. The…

Q: 1. Find the general equation of the parabola with vertex at (-2,3) and focus at (-2,–2). 2. Graph…

A: 1. The given vertex at -2,3 and focus at -2,-2. Find the general equation of the parabola. 2. The…

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

A:

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

A: Given that, Vertices: 5,0,5,8 Asymptotes: y=45x, y=8-45x

Q: Find the equation of the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

A: Given the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

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: Write the equation of the hyperbola that has its center at the orgin vertices on the y-axis 8 units…

A: solution is given below..

Q: 5. Identify the graph of 4x + 16y – 16x + 32 = 0 as a parabola, ellipse or hyperbola.

A: Given: 4x2 + 16y − 16x + 32 = 0

Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing…

A: Given problem:- Determine the standard form of equation of a hyperbola with vertices at (2,3), (2,…

Q: B. Determine the standard form of equation of the hyperbola whose general form is given. 4. 4x — 3у…

A:

Q: Find the standard form of the equation of the hyperbola with the Vertices: (-6, 2), (0, 2);…

A: Introduction: The standard equations of the hyperbola are given by,…

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Parabola Question

Q: 10. Find an equation for the parabola with vertex (0, 0) and focus (4, 0).

A:

Q: Find the equation of a hyperbola with vertices at (-2,5) and (6,5) and focus at (8,5)

A: Given, vertices=(-2,5)&(6,5) , focus=(8,5)

Q: The center of a hyperbola is (-2,4), and one vertex is (-2, 7). The slope of one of the asymptotes…

A: Given that the center of a hyperbola is (-2,4) and one vertex is (-2,7) .  The slope of one of the…

Q: 10 -8 -6 -4 -2 i 4 8 10 -4 -6- -8 +10| Write the standard equation for the hyperbola graphed above.…

A: forrmula: c2=a2+b2 Length of Transverse Axis 2a Length of Coniugate Axis 2b

Q: 15. 20y - 3 - 40y + 12x = 52

A:

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

A: It is given that the vertices are 4,-1 and 4,-7. The asymptotes are y=x-8 and y=-x. Here, the…

Q: 9) Write the standard form of the equation of the hyperbola with vertices (0,2), (6,2) and…

A: Vertices (h-a,k),(h+a,k) asymptotes y=+-(b/a)(x-h)+k

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

A: Consider the general form for the asymptotes is, y=k±bax-h Here, the center is (h,k)

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

A: General equation of the hyperbola:(x-h)2a2-(y-k)2b2=1             Horizontal Hyperbola…

Q: y2 The vertices of the hyperbola with the equation 4 *= 1 are (-2, 2) and (2, 2) (-2, 0) and (2, 0)…

A:

Q: Find an equation for the hyperbola that has vertices  (±3,0) and asymptotes  y=±5x.

A: Given query is to find the equation of the Hyperbola.

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

A:

Q: 10 y -10 -8 -6 -4 -2 8 10 -5 10| of Write the standard equation for the hyperbola graphed above. to

A: Let's find equation of hyperbola.

Q: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. x ^ 2 + y ^…

A:

Q: A hyperbola is defined by the equation x2 - y2 - 2x - 4y - 4 = 0. Its center is at the point (-1, 2)…

A:

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

A:

Q: 10+ y 8- 7- 6- 4- 3. 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 12 3 4 5 6 7 89 I0 -2- -4- -5- -6- -7- -8- -9-…

A: According to the given graph: The center of the hyperbola is:  (h, k) = (1, -3) a=5    and    b=1

Q: what is the graph of the equation x - y^2 - 4x^2 = 0? hyperbolic paraboloid, ellipsoid, elliptic…

A: