5- Describe the graph of the equation 16x +9y -64x-54y +1-0. 6- Discuss the equation x+y + 4x- 6y 12. ,2 2 7- Analyze the equation y-8x-6y-23 0. 8- Analyze the equation 4x2-16:-9y2-54y =101.

Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4 3. 56 3 21 2t y 3 5 -3 54 N

A: Quadratic Surface:

Q: Sketch the graph of the equation. x2 + y2 + 6x - 12y + 45  = 0

A: Given x2 + y2 + 6x - 12y + 45  = 0

Q: Match the equation with its graph. 4x2 - y2 + 4z = 0 %3D -3r 3 31 21 -3 -5 56 242 4 32

A:

Q: What is the graph of the equation (x - 8)^2 + (y + 2)^2 = 25?

A:

Q: Describe the graph of the equation Y² −8x−6y−23 = 0

A: Given equation is: y2-8x-6y-23=0

Q: Match the equation 4x2 − y2 = 4 with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and…

A: We first write the equation in the standard form So this is a hyperbola. (Horizontal) With center…

Q: Sketch the graph of the equation 2x - 3y - 12 = 0.

A: Given: 2x-3y-12=0

Q: Match the equation with its graph. x2 y2 = 1 9. 9 16 6. 2 y 56 -3 41 2 -5 3. 3. -3

A: We want to identify the equation.

Q: Can the graph of an equation x2 + y2 = 25,have more than one form of symmetry?

A: To determine: The graph of given equation and its symmetry.

Q: Consider the equation below. y = 2.5(x + 4)2 - 3 %3D What is the vertex for the graph of this…

A:

Q: Find an equation for the graph.

A:

Q: Does the graph of Y2 pass through the origin?

A: Do the graph of Y2 passes through the origin?

Q: Discuss the equation x2+y2-2x+4y-4=0 Graph it.

A: Given: x2+y2-2x+4y-4=0 Simplify the equation. x2-2x+1+y2+4y+4=4+1+4(x-1)2+(y+2)2=9 The standard…

Q: do I Graph the equation y = 1/3x - 2

A: Given: y=-13x-2

Q: What is the equation of the graph below? -4x + 8y = 1 2x + y = 8 4x - 8y = 1 -2x + y = 8 4x + 8y…

A:

Q: Match the equation 4x2 + y2 = 4 with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and…

A:

Q: 9. Graph the equation 3x + 5y = - 15.

A:

Q: Describe the graph of the equation x2 – 5y2 – 4x – 10y – 46 = 0. | Describe the graph of the…

A:

Q: How do I graph 3x=-3y?

A:

Q: Graph : 2x − 3y = 6

A:

Q: what is  graph an equation y = - 1/2x + 3

A: Given

Q: Sketch a graph of y = - 2x -1 5+ 3. 2. 1 54 3 2 -1 2 3 4 5 -2 -3 4.

A: Given equation: y=-2x-1 , which is a linear equation of form y=mx+c (Slope -intercept form). i.e.…

Q: find the equation of the graph

A: We see that for values of x=0, y=0.

Q: Describe the equation x2 + y2 - 2x + 4y - 4 = 0. Graph it.

A: x2+y2-2x+4y-4=0 On simplification, we get…

Q: Discuss the equation x2 + y2 - 2x + 4y - 4 = 0.Graph it

A: Given :            The equation x2 + y2 - 2x + 4y - 4 = 0.   To graph the equation.

Q: How do I graph y=7-3x/4?

A: Note that given equation represents line.

Q: 2< 3х — 7 < 14

A:

Q: Match the equation with its graph. 15x2 – 4y2 + 15z2 = -4 3 2

A: -x2a2 + y2b2 - z2c2 = 1  , represents a hyperboloid with axis y=0.

Q: Ay 6- 4. 2- -2- 12

A: Given: graph of the function is trigonometric functionEvery trigonometric…

Q: Graph y 2-2x+3 on a plane. -2- 2 3 45 ... ... .. ... ........

A: Graph is given below....

Q: Identify and sketch the graph of the equation x2+y2+z2-2x+4y+6z+14=0

A: Let us plot the graph.

Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4 |

A:

Q: Match the equation with its graph. x2 y2 z2 + = 1 9 9 16 4 -5

A:

Q: How do I graph y=5-3x?

A:

Q: write an equation of the form y=asinbx or y=acosbx to describe the graph

A:

Q: Graph the equation and identify the x- and y-intercepts. x-2y =-6 Part 1 of 2 Graph x-2y=-6. 20+y…

A: The equation  x-2y=-6 is given. To find the intercepts and graph of the function.

Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4

A: Graph: - A function graph or "graph of a function," i.e., a plot, is referred to as a "graph" in…

Q: 31 + 2元 十→ 4元 X -4元 -2元

A:

Q: 3-115. Change the equation x²+8x+y²-12y=12 to graphing form and sketch a graph.

A: We will get the graphing form of the equation by completing the squares of x and…

Q: Discuss and sketch the graph of 2x = y2 + 6y + 22.

A: We have given an equation 2x = y2 + 6y + 22Now, we wanna a perfect square of variable y, for that…

Q: (b) Graph the equation x² + 2x +9y² +9z² = 8, labelling the coordinates of the center and one vertex…

A:

Q: 2y+6x=-2 graph

A: Given2y+6x=-2

Q: 10. Describe the graph of the equation - x² + 4y – 4x + 40y + 60 = 0.

A:

Q: 4) What is the equation of the graph below? A) y= 2(x- 4)² - 2 B) y= 2(x+ 4)² - 2 C) y (x - 4)° - 2…

A:

Q: Which is the graph of y = -0.5x + 3? %3D yA 6. 6. 3 O A. + O C. + -6 -3 -6 -3 3. 6. -3 3. 6,

A: Given, y=-0.5x+3

Q: Sketch a graph of y = (-2³-× + 3) and y %3D - 3.

A: Graph of equation y=-23-x+3

Q: Which equation matches the graph below? -2 a) 2x + 6y = -8 -2 by -2x + 6y = -8 c) 3x + 4y =-12 dy 4x…

A: Given that

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.