Find the vertex Focus and divertrix to given the parabola x2 +6x+8y+25-0

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

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

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Q: Find the focus and directrix of the parabola. 2y2 + 2x + 20y + 52 = 0

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Q: The focus of the parabola defined by the equation x2 = 20 y is %3D (4, 5) (0, 0) O A. В. (0, 5)| (0,…

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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 an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

Q: Find the standard equation of any parabola that has vertex V.

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: What is the vertex of the parabola (y - 1)2 = 16x?

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Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: Draw the hyperbola with the equation: 3x2− 2y2+ 6x − 8y = 6.

A: the hyperbola

Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

Q: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

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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: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

A: Given:             y2+2y+4x-7=0 Parabola standard equation 4px-h=y-k2 is the standard equation for a…

Q: Find the vertex and opening of the parabola 1. y = 2x^2 − 2 and y = x^2 + x

A: Use second derivative test

Q: the coordinates of vertex, focus, and ends of latus rectum of the parabola  Y2−8Y+6X+16=0

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Q: Find the vertex and focus of the parabola from the given equation and select its graph. ²+16y = 0

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Q: Find the foci of the hyperbola. 2 4x-y- 2 32x+ 28 = 0

A: See attached file for a step by step explanation to find the foci of the hyperbola.

Q: For the hyperbola given by (9x^2)- (4y^2) -36x -24y - 36 = 0, find the distance between its…

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

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 12x - 23 = 0.Then graph the…

A: y2+2y+12x-23=0⇒y2+2y=-12x+23⇒y2+2y+1=-12x+23+1⇒y+12=-12x+24⇒y--12=-12x-2 Now comparing with…

Q: Find the length of the hyperbola. (y-2)2/ 9 - (x+1)2/4 =1

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

A: find the equation of a parabola vertex=(0,0) and directrix x=-4

Q: Consider the equation of parabola y = 5x - 30x + 45. %3D Its vertex is located at (

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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: The center of a circle is the vertex of the parabola y2 + 24x−12y + 132 = 0. If the circle…

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

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Q: Is and directrix of the parabola: (y-7)²-6(x+9)

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Q: The vertex of the parabola f(z) = z²+ 14z + 10 is %3D

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Q: Find the asymptotes of the hyperbola 3x2 + 6x − y2 − 10y = 1.

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Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

Q: graph the parabola  and determine the focus, vertex and directrix  (3y - 6)2 = 36(x - 2)  x2 + 6x…

A: As we know that the the standard equation of the horizontal parabola is: y-k2=4px-h Where:  Vertex:…

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

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: 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: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 12x - 23 = 0..Then graph the…

A: Given equation, y2+2y+12x-23=0we have to find the vertex, focus and directrix of the given equation…

Q: Find the vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

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Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: The location of the focus of the parabola x2 – 6x – 12y – 51 = 0  is at a. (2, -3)           b.…

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Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

Q: Express your final answer in Mdx + Ndy = 0 1. Parabola whose vertex is at point P(13, 60).

A: The given data is: 1. Parabola whose vertex is at point P (13,60), Express your final answer in…

Q: Find the vertex, focus, and directrix of the parabola y2 + 6y + 8x + 25 = 0, and sketch its graph.

A: Parabola:         y2+6y+8x+25=0=>y2+2.3y+9+8x+16=0=>(y+3)2=-8x-16=>-(y+3)28=x+2

Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

A: The solution of the problem is given in the next step.

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: Find the directrix of the parabola.  y^2= -10x

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