What kind of graph does this equation have?
452750
Multiply it out: (x + 3y)^2 = x^2 + 6xy + 9y^2 = 4 implies (x^2)/4 + y^2/(4/9) + 6xy = 1.\nA well aligned ellipse has the equation ax^2 + by^2 = 1, \nequivalent to the matrix equation [x, y][1/a, 0; 0, 1/b][x; y] = 1. If we replace the scaled standard axes by a set of axes rotated by r, we get [x, y][(1/a)cos(r), (1/b)sin(r); -(1/a)sin(r), (1/b)cos(r)][x; y] \n= (cos(r)/a)x^2 + (cos(r)/b)*y^2 + sin(r)(1/a - 1/b)xy = 1. Thus, the graph of your equation is an ellipse rotated by r.
1093431
what is d2 here..if its line what is its equation?
949907
It has to do with the number of turning points a graph has and the end behavior.  For example the graph of x^2-4x+4 "bounces off" the x-axis at (0,2). This graph's end behavior is it approaches + infinity on the right(the leading coefficient is +), and since it is of an even degree it must do the same on the left. If it went through the x-intercept, instead of bouncing off, it would approach - infinity on the left. The graph of x^3-6x^2+12x-8 goes through the x-intercept of (0,2). This graph's end behavior is it approaches + infinity on the right(the leading coefficient is +), and since it is of an odd degree it must do the opposite on the left. If it bounced on the x-intercept like that of x^2-4x+4, it would approach + infinity on the left instead of - infinity.
338193
The equation represents a straight line graph whose gradient is 3 , and intercepts the the ordinate axis(i.e y-axis) at the -2 position.\n\nthe easiest way to arrive at this is to draw a table of values. Such that you find the values of y, using values of x from -6 to +6.\n\nYour graph will confirm my story, \nBut from mere looking at the equation I can make a good prognosis, when i compare it with Y=mx + c .where Y represents the value of the equation, X represents the value of x which made y what it is.\nM stands for the gradient of the graph, while c stands for the intercept on the Y-axis.
599765
When graphed, a linear equation will form a straight line while a non linear equation will not be a straight line
463925
I am not sure that I follow what you are asking. Are you looking for the above items to be charted as variables on your graph?\n\nPerhaps if you post additional details in your question, it would help us.
476794
This graph helps us to show what happens when a quantity y is inversely proportional to another quantity x.\n\nAgain, it shows us that a computer algorithm implementing y=(1/x) for the order of efficiency of the algorithm..
473627
on a graph every point has an x and y coordinate.  The vertical(up-down) is the Y-coordinate, the horizontal (left-right) is the x-coordinate
505936
What exactly are you supposed to do with this equation?  Are you suppose to graph it, find solutions, factor or what?  You need to be more specific.
778230
y = ax^2 + bx + c, a not equal to 0\n\nvertex = [(-b/2a), f(-b/2a)]\n\n-b/2a = -4/2 = -2\n\n-2^2 + (4 x -2) + 5 = 4 - 2 + 5 = 7\n\nthe vertex of the graph of the equation is -2, 7\n\nTherefore the axis of symmetry is x = -2
737893
Take your quadratic equation.\n\nThe graph cuts the x axis when y = 0\n\nSo simply put your equation = 0, and then solve it either by using factorising or the quadratic formula:\n\n(-b plus or minus sqrt(b^2 +4ac)/2a)\n\nif I remember right, (could be minus 4ac)
715220
yep, here they are, are you doing a pri=oject? i might be doing the same one.\n\nhttp://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=mathcom&s1=graphs&s2=equations&s3=basic\n\nhttp://www.webgraphing.com/plotting_advanced.jsp
502859
Okay, -2 is where your graph crosses the Y-axis. 1/3 represents the slope of the line (y/x or rise/run). So that means for every 1 step it goes up, it goes 3 to the right. Just chart it out and you should be able to get it from that. Since it is > and not =, that means Y (answer) is above the line.
138490
Infinite.\nIn this case all variables and constants have canceled out, leaving a trivially true statement. The original equation, therefore, would be called an identity and one would not consider the graph (it would be the entire xy-plane). An example is 2x + 4y = 2(x + 2y). The two expressions on either side of the equal sign are always equal, no matter what values are used for x and y.
653148
All equations for a line will have the form:\n\ny = mx + b,\n\nwhere x & y are coordinates, m is your slope, and b is your y-intercept.\n\nTherefore, substituting in your slope and y intercept, you get:\n\ny = -2/3x + 4\n\nThis equation can then be used to graph the line, since given any x, the corresponding y can be found. :)
635075
Graph X=-4 with dotted lines\n\nthen color everything below the line.
648708
I know this! I did a problem like this a while ago! It's an exponential equation. It can be used to predict exponential increases or decreases, like bacteria or double/triple/quadrupled information.