2. Write the equation of the parabola x+ 6x+8y = 7 in standard form and identify the a) vertex, b) focus, c) directrix, d) axis of symmetry, e) opening of the parabola and f) sketch its graph.

Q: = 18 , find the co-ordinates of the vertices, foci, equations of the For the hyperbola 9Y² – 2X?…

A:

Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

A:

Q: .what does the axis of symmetry do to the parabola?

A:

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: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

A: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

Q: What’s the difference between the equations for locating an ellipse’s foci and locating a…

A: It is known that for ellipse the equation of the foci is c2=a2-b2,where c is the foci,a is the…

Q: in exercises 37-50, find the vertex, focus, and directrix, of the parabola. then sketch the…

A:

Q: What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, ±4)7

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

Q: Find the vertex, focus, and directrix of the parabola x2 − 2x − 4y − 7 = 0 , and sketch its graph.

A:

Q: An architect designs two houses thath are designed and positioned like a part of the branches of the…

A: Given: 625y2-400x2=250000 We know that the general equation of a hyperbola is:

Q: 3- Sketch the ellipse given that vertices at (8, 0), (-8, 0) and minor axis = 6.

A:

Q: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

A: The intersection of a plane and a double napped cone is known as conic sections.If the set if…

Q: The cables of the middle part of a suspension bridge are in the form of a parabola, and the towers…

A: Explained below

Q: 2- х Find the average height of the arch above the An arch is 675 ft high and has a 560-ft base. It…

A:

Q: 6. Write the equation of the parabola in vertex form that has a the following information: Vertex:…

A: The standard form of a parabola with axis of symmetry parallel to x-axis is given by y-k2=4px-h with…

Q: Choose the equation that represents the *graph of the quadric surface below

A: Given,

Q: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

Q: Determine whether the statement "It is possible for a parabola to intersect its directrix", is true…

A: The given statements is "It is possible for a parabola to intersect its directrix".

Q: The cables of a suspension bridge are in the shape of a parabola.The towers supporting the cable are…

A: A parabola is a type of curve which where the distance of any point of the curve is same from one…

Q: Give the geometric definition of a hyperbola.

A: Given: Give the geometric definition of a hyperbola.

Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.

A: Actually, there cannot be two different parabolas with same focus and vertex..

Q: Find the vertex, focus, and directrix for the parabola.

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Q: Find the standard form of a parabola with the following properties: Center at the origin…

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Q: Find the vertex, focus, and directrix of the parabola y2 − 4y − 4x = 0, and sketch its graph.

A: Consider the equation of parabola, y2-4y-4x=0 Find the vertex, focus, and directrix of the parabola.…

Q: 2. Identify the coordinates of the foci, vertices and covertices of the ellipse x2 y2 with equation…

A:

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

A:

Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: 9. How is the equation of a hyperbola different from the equation of an ellipse?

A:

Q: I llustiate and Sketch the equation of parabola ?f vertex

A: General equation of parabola is of form y2=4ax or x2=4ay

Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

Q: Determine the Vertices and Foci of the Hyperbola 9x - 4y = 36 %3D and Sketch.

A:

Q: 1) WHAT IS THE DIFFERENCE BETWEEN THE EQUATIONS FOR PARABÓLAS, ELLIPSES, CIRCLES AND HYPERBOLAS?

A:

Q: 3.

A: The equation of parabola in vertex form is : y = a*(x-h)2 + k where, vertex : (h, k)

Q: What equation is used to find the foci of a hyperbola?

A: The hyperbola which is having transverse axis along x-axis is given by x-h2a2-y-k2b2=1 where h,k is…

Q: Find the vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

A:

Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

A: Cross - section of nuclear power plant

Q: 40. y² – 16x² + 64x 208 = 0

A:

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

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

A: To determine the standard equation of the hyperbola.

Q: The cable of a suspension bridge is in the form of a parabola. The towers supporting the cable are…

A: Given that The cable of a suspension bridge is in the form of a parabola. The towers supporting the…

Q: .What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex…

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

Q: 5) Write the equation of the given parabola in VERTEX FORM.

A: Given that: Graph of a parabola.

Q: 2. PARABOLA VERTEX = (2, FOCUS = (1,

A: Given vertex=2,1 and focus=1,1 We have to find the equation of the parabola. We can see that the…

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at a The…

A: Given that, Vertex of the parabola are, (h, k) = (0, 0) And diretrix of parabola is x = - 12 We have…

Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…

A: x=12y+52-2 On simplification, we get ⇒12y+52=x+2⇒y+52=2x+2⇒y--52=2x--2 Now it is in the form of…

Q: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Q: Find the vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = (…

A: Topic = Parabola

Q: Introduction outline about three iconic circles (ellipse, parabola, hyperbola)

A: To give an introduction about parabola, ellipse and hyperbola.