Convert the equation x² + y²+2x-6y+7=0 to standard form and sketch the graph

Q: Sketch the graph of the equation by making a table and plotting points. y = 2 - 3x

A: y=2-3x

Q: Graph the equation y 1 x + 4. - 8 -8

A: To draw the graph of equation    y = -1/2 x + 4 Here, slope is -1/2

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

A: Given x2 + y2 + 6x - 12y + 45  = 0

Q: Identify the graph of equation. 4x2 + 4y2 − 9 = 0

A: We have to identify the graph of the given equation   Given equation is 4x2 + 4y2 − 9 = 0   First,…

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

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

Q: Describe the graph of the equation 4x² - 9y + 16x + 54 y - 29 =0.

A: Consider the given equation 4x2-9y2+16x+54y-29=0…

Q: Graph the equation y-5=1/3(x-4)

A: Consider the given equation of line, y-5=13x-4 Any line can be drawn using two points. so select any…

Q: Graph the equation. Let x = - 3, - 2, - 1, 0, 1, 2, and 3. y= 4x+2 ..... -3

A:

Q: Graph y >1- 3z. 24

A: y > 1 - 3x  In all four graphs, line y = 1 - 3x is there.  ∵  In the given inequality, no…

Q: Transform the equation into center-radius form. Draw its graph x² + y² - 2x + 4y -4 = 0

A: We have to find out centered and radius form

Q: How to graph the equation y=3x+2

A: Given that the equation is

Q: Describe the graph of the equation x2 + 4x – 16y + 36 = 0. -

A:

Q: how to graph the equation 2x+5y=10

A: The given equation is a linear equation. Hence it represents a straight line.For plotting a straight…

Q: Sketch the graph of each equation.…

A: To sketch the graph of the following given equations.

Q: Graph the equation. 8x +5y%3D0 10- -10 -18

A: We solve the given equation for y

Q: Match the equation with its graph. y = x- x 2.5 15 0.5

A:

Q: Graph the equation. y=-2 x-4 +:

A: We can find the graph of the equation as below.

Q: Please find attached

A: To sketch the graph of the equation given.

Q: Graph the equation: y2 = x2 - 1

A: To graph the equation, y2=x2-1, use the Desmos graphing calculator and Label the axes.

Q: Describe the equation 2x - 3y = 12. Graph it.

A: Given equation is 2x-3y=12. To graph the equation. Solution: The degree of given equation is 1. So,…

Q: Sketch the graph of the following equation 2x + 6y + 3z = 12

A: To sketch the graph of given equation

Q: (i) Sketch the graph of y =|5x²– 14r – 3| graph meets the coordinate axes.

A: Given: y=5x2-14x-3 To express: (i) The given function in the form of p(x+q)2+r form. To sketch: (ii)…

Q: Transform the equation into general form. Draw its graph. (x+3)² + (y−4)² = 36

A: As we know the general form of the equation of the circle is: x2+y2+2gx+2fy+c=0 Where; The Center is…

Q: Describe the graph of the equation X² −y² −4x + 8y−21 = 0

A: x2-y2-4x+8y-21=0

Q: Sketch the graph of the equation y = 4x − 2

A: y=4x-2. First find the points on the graph of the given equation by arbitrarily choosing the values…

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

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

Q: Change the equation (x - 2)²+(y -6)²=9 to general form and sketch the graph

A: Given (x-2)2+(y-6)2 = 9(x-2)2+(y-6)2-9 = 0x2-4x+4+y2-12x+36-9 = 0x2+y2-4x-12x+31 = 0

Q: Use a graphing utility to graph the equation 9x2 + 24xy + 16y2 + 90x - 130y = 0.

A: Given9x2+24xy+16y2+90x-130y=0.  Need…

Q: Match the equation with its graph. y2 - 4x2 + 9z2 %3D -3 32

A: Given that: y2=4x2+9z2

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

A: Let us plot the graph.

Q: 1. Identify the graph of the equation: (x – 1)² + y² = 4 а. b. d. C.

A:

Q: Graph the curves y = -x3 + 6x2 - 9x + 3

A: here the curve given to us is  y = -x3 + 6x2 - 9x + 3 as we can see that this curve is cubic so it…

Q: Sketch the graph of the equation. -4x +5y= 20

A: Given that, -4x+5y=20

Q: Build the graph : y=x^2-2x-3

A: y=x2-2x-3

Q: Sketch the graph of the equation. x2 + y2 + 4x - 10y = 21

A:

Q: Classify the graph of each equation. a. 4x² - y² + 8x - 6y + 4 = 0 b. 2x² + 2y - 8x + 12y + 2 = 0

A: To classify the graph of the equation

Q: Graph the equation y = lxl - 2, Let x = -3, -2, -1, 0, 1, 2, and 3.

A: Given: y=x-2x=-3,-2,-1,0,1,2,3

Q: Write in standard form and then graph. a)2x2 + 2y2 –- 12x + 8y – 24 = 0 b)8x + x² – 2y = 64 – y²

A:

Q: Identify the graph of the given equation. 3x2 = y2 - 1

A: The given equation is 3x2=y2-1. Rewrite the above equation as follows. 3x2=y2-1y2-3x2=1y21-x213=1

Q: Identify the graph of the given equation. 3x2=y2-1

A: Identify the graph of the given equation. 3x2=y2-1 The graph is a hyperbola with vertices (0, 1) and…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: The given equation is, y=x3-8 To find the x-intercept of the curve, y=0 0=x3-8x3=8x=83=2 hence, the…

Q: Graph the equation. Let x= -3, -2, - 1,0, 1, 2, and 3. y3 3x-2 ..... y -3

A:

Q: Sketch the graph of the equation. x2 + y2 + 4x – 10y = 24

A:

Q: Graph the curves y = x - 3x2/3

A: Given curves is y=x-3x23. We will find points to draw the graph. We will make table for x and y…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given:                 x+5=0 Rewrite:                y=x+5 x y 0 5 -5 0 1 6 -1 4

Q: Match the equation with its graph. 16 3 y 56 -3 21 y 62 1. 52 542

A: Given:       x29+y216+z29=1       16x2+9y2+16z2=144

Q: Identify the graph of the given equation. 2x2+y2-8=o

A: ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: classify the graph of the equation  x²+y²-4x-6y-23=0

A: We know that general equation of comics is given by  Ax2  + Cy2 + Dx + Ey + F = 0 Given , equation…

Q: Put this equation in standard form and graph it. y² - 4x² + 2y + 16x = 19

A: Solve the following

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.