. Reduce the general equation of the circle 8x + x2 - 2y + y2 = 64.  2. Determine the opening, vertex, focus, directrix, axis of symmetry, and endpoints of latus rectum of the parabola with the given equations. Then, sketch the graph and include these points and lines. (y - 4)2 = -8(x + 1).  3. The focus is at (2,0) and the vertex is at (-4,0). Identify the equation of the parabola and sketch.  4. In the figure below, find the equation of the circle.

Q: Given the equation of parabola y² + 4x - 2y - 11 = 0, find the following: A. Standard form / Vertex…

A: Solution is here

Q: 1. Find the center and radius for each equation of a circle. (x+ 5)2 + (y - 1)2 = 49 %3D Center (

A: Solution; Consider the given equation of the circle: x+52 + y-12 = 49 Comparing the given equation…

Q: Write the standard form of the equation of the circle with the given center and radius. (10, 0); 2

A: Given center (h,k)=(10, 0)  radius, r= 2

Q: 3. One point on a parabola is (-9, 11). The focus of the parabola is (3, 2). 1) Write the equation…

A:

Q: 2) Graph the equation 3 x + 4 y = 12.

A: The given equation is  3 x + 4 y = 12

Q: Graph the parabola with the given values: focis :(3,4), Ld: y=-2 Include a, vertices, p1, p2 and…

A:

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: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

A:

Q: b) Express the equation of a circle 3x2 +3y2 + 42x = 12y - 111 in standard form. Then, identify and…

A:

Q: 13. Complete the square and find the vertices of this ellipse: 25x² +50x +4y² –16y = 59 A) (-3,2),…

A:

Q: [The graphs are labeled (a), (b), (c), (d), (e), and (f).] (a) (b) -5-4-3-2–1-- (c) (d) (e) (f) 1. +…

A: As per our guidelines only 1 question can be solved, Hence Exercises 1-6 is answered below in the…

Q: 5. Put the following equation into standard form, classify it as a circle, ellipse, hyperbola, or…

A:

Q: 2. Fill in the blanks of the following chart. DO NOT complete the shaded boxes. Equation y= 2x² +8 y…

A: The given first equation is a quadratic equation and is given as  y=2x2+8. On graphing a quadratic…

Q: 2. Fill in the blanks of the following chart. DO NOT complete the shaded boxes. y = 2x +8 2 y = 3 -…

A: Let us consider the equation of parabola y=a(x-h)2+k Vertex of the equation is (h,k) The axis of…

Q: Part D: Find the vertex. State your vertex as an ordere |(x, y). Show your work or explain your…

A: Given: y=x2+6x-27

Q: ntify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix,…

A: We have given equation of parabola.

Q: 5. Find the center and radius of the circle with equation (x + 1)² + (y - 3)² =9. Then graph the…

A:

Q: lin

A: We have to find the equation of a parabola with vertex on the line y = x, axis parallel to Ox and…

Q: 6.) Find an equation of the parabola in standard from given the following information: a.) Focus:…

A: Solve for parabola equation