Divide 2, the coefficient of the x term, by 2 to get 1 Then add the square of 1 to both sides of the equation This step makes the left hand side of the equation a perfect squareUse the center, vertices, and asymptotes to graph the hyperbola (x 1)^2 9(y 2)^2 = 9 (x1)^2/9 (y2)^2 = 1 This is aTrigonometry Graph (x^2)/9 (y^2)/1=1 x2 9 − y2 1 = 1 x 2 9 y 2 1 = 1 Simplify each term in the equation in order to set the right side equal to 1 1 The standard form of an ellipse or hyperbola requires the right side of the equation be 1 1 x2 9 − y2 1 = 1 x 2 9

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(x-2)^2 (y 1)^2=9 graph-Circle on a Graph Let us put a circle of radius 5 on a graph Now let's work out exactly where all the points are We make a rightangled triangle And then use Pythagoras x 2 y 2 = 5 2 There are an infinite number of those points, here are some examples x y x 2 y 2;Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music




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X^2 2 y^2 = 1 Natural Language;Because there are 2 ellipsoid graphs to choose from, we look at the major axis in the function and pick the graph with the corresponding major axis x axis radius = (sqrt(1/9))^2, y axis radius = (sqrt(1/4))^2 z axis radius = 1 We see the major axis is the Z axis, and the corresponding graph is IV This is graph IVX^ {2}2\left (x\right)=y3 Subtract 3 from both sides x^ {2}2x=y3 Multiply 2 and 1 to get 2 x^ {2}2x1=y31 Divide 2, the coefficient of the x term, by 2 to get 1 Then add the square of 1 to both sides of the equation This step makes the left hand side of the equation a perfect square
Y= (1/2) (x1/2)^29/8 This is an equation of a parabola that opens upwards Its standard form of equationy=A (xh)^2k, (h,k)= (x,y) coordinates of the vertex for given equationy= (1/2) (x1/2)^29/8 vertex (1/2,9/8) see graph below6 unit left 6 unit right 1 unit leftPopular Problems Calculus Graph y^2x^2=9 y2 − x2 = 9 y 2 x 2 = 9 Find the standard form of the hyperbola Tap for more steps Divide each term by 9 9 to make the right side equal to one y 2 9 − x 2 9 = 9 9 y 2 9 x 2 9 = 9 9 Simplify each term in the equation in order to set the right side equal to 1 1
Algebra > Quadraticrelationsandconicsections> SOLUTION sketch the graph of each ellipse 1x^2/9y^2/4=1 2x^2/9y^2=1 3x^2y^2/4=1 4y^2/4x^2/25=1 5y^2/9X^2/16=1 6x^2/25y^2=1 7x^2y^2/9=1 8x^2y^2/25=1 9x^2/9y^2=1 Log OnSo I simply put X equals zero and that I will be getting this minusTranscribed image text Question 2 (2 points) (Sec 25) The graph of y = f(x) is given below 4 y=f(x) 3 2 3 V 2 3 4 Use the graph of y = f(x) to determine which of the following graphs is the graph of my = f(x 2) and (m) y = f(x) 2 Graph 1 3 sire2learncom ser accompUque Hartrame autod Bogi 127 39 crot=0 25 (23, 25) F1 imit Time Left




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A circle is all points in a plane that are a fixed distance from a given point on the plane The given point is called the center, and the fixed distance is called the radius The standard form of the equation of a circle with center (h,k) ( h, k) and radius r r is (x−h)2(y−k)2 = r2 ( x − h) 2 ( y − k) 2 = r 2Graph (x1)^2 (y2)^2=9 (x − 1)2 (y 2)2 = 9 ( x 1) 2 ( y 2) 2 = 9 This is the form of a circle Use this form to determine the center and radius of the circle (x−h)2 (y−k)2 = r2 ( x h) 2 ( y k) 2 = r 2 Match the values in this circle to those of the standard formUse a table of values to graph y = 2x24x 1 xy1 6 01 1 2 2 3 3 2 41 x y O Graph the ordered pairs in the table and connect them with a smooth curve b What is the domain and range of this function?




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You can put this solution on YOUR website!The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction x^ {2}2xy^ {2}2y=0 x 2 2 x y 2 2 y = 0 This equation is in standard form ax^ {2}bxc=0 Substitute 1 for a, 2 for b, and y\left (2y\right) for c in the quadratic formula, \frac {b±\sqrt {b^ {2 You find the centre, the vertices, and the endpoints of the function Then you plot the graph (x1)^2 (y4)^2 = 9 This is the standard form for the equation of a circle with centre at (1,4) and radius sqrt9 = 3 This means that, to find the vertices, you go 3 units up from the centre and 3 units down Thus, the vertices are at (1,7) and (1,1)



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X^2 y^2 = 0 x^2 = y^2 /x = /y The total graph is the intersection on two perpendicular straight lines passing through the origin, one with a slope of 1, the other with a slope of 1 y = x y = xExtended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, musicExplore math with our beautiful, free online graphing calculator Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more




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Graph the parabola, y =x^21 by finding the turning point and using a table to find values for x and yAnswer (1 of 3) The same way you plot anything Even with this equation being complicated looking, just assume that this elliptical mapping has some yvalue(s) for whatever xvalue(s) Since this is second order, we can expect it to have some values So, start off by making a list When x=0, y5 0 5 2 0 2 = 25 0 = 25 3 4 3 2 4 2 = 9 16 = 25 0 5 0




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Find stepbystep Calculus solutions and your answer to the following textbook question Suppose the line tangent to the graph of f x=2 is y=4x1 and suppose y=3x2 is the line tangent to the graph of g at x=2 Find an equation of the line tangent to the following curves at x=2 a y=f(x)g(x), b y=$\frac { f ( x ) } { g ( x ) }$1) y = 2(x 2)^2 2 2) y = (x 2)^2 2 3) y = (x 2)^2 2 4) y = (x 2)^2 2 the answers to ihomeworkhelperscomFree graphing calculator instantly graphs your math problems




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Figure 275 In threedimensional space, the graph of equation x 2 y 2 = 9 x 2 y 2 = 9 is a cylinder with radius 3 3 centered on the zaxis It continues indefinitely inY=2 (X1)^25 Y=2 (X^22X1)5 Y=2X^24X25 Y=2X^24X7 (graph 300x0 pixels, x from 6 to 5, y from 10 to 10, 2x^2 4x 7)Or are you doing something else?



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Steps to graph x^2 y^2 = 4 A circle with a radius of 3, and its center located at (4,1) Given (x4)^2(y1)^2=9 Notice that the equation for a circle is given by (xa)^2(yb)^2=r^2 where (a,b) are the coordinates of the circle's center r is the radius of the circle Here, we get (a,b)=(4,1), and 9=3^2Vertical lines The graph of c x , where c is a real number, is a vertical line with xintercept) 0, (c Horizontal lines The graph of y c or f x c , where c is a real number, is a horizontal line with yintercept of (0, c) 1 Graph the vertical line MartinGay Ch 3 sec 3 3 out of 4 2 6 3 2 y x xintercepts yintercepts




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#1 A cubic polynomial function f is defined by f(x) = 4x^3 ax^2 bx k where a, b and k are constants The function f has a local minimum at x = 1, and the graph of f has a point of inflection at x= 2 a) Find the values of Math find an equation of the tangent line to the graph of y = (ln x)^2, at x = 3Join this channel to get access to perkshttps//wwwyoutubecom/channel/UCFhqELShDKKPv0JRCDQgFoQ/joinHere is the technique to solve this tangent line and no x^2 xy y^2 = 9 2x x dy/dx y 2y dy/dx = 0 dy/dx(x 2y)= 2x y) dy/dx = (2xy)/(x2y) < you had that, good!




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2 2 x 1 y , and x 2 y Since the first function is better defined as a function of y, we will calculate the integral with respect to y As usual – draw the picture first In this case the boundaries are determined by the points of intersection of both functions Remember that we want the yvalues since we will be integrating with respect to yHow do you graph y=x2Video instruction on how to graph the equation y=x2 how do you graph y=x2Video instruction on how to graph the equation y=x2Graph the parent quadratic (y = x^2) by creating a table of values using select x values The graph of this parent quadratic is called a parabolaNOTE Any




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$\begingroup$ How did you get negative 1/2 if one divides both sides by 2 to get rid of the 2 that is adjacent to the quantity (y1)^2?Graph y=x^29 y = x2 − 9 y = x 2 9 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for x 2 − 9 x 2 9 Tap for more steps Use the form a x 2 b x c a x 2 b xGraph {eq}(x 2)^2 (y 1)^2 = 9 {/eq} Circles A circle is a two dimensional relationship for which every point is equally distant from the point in the center




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Description Function Grapher is a full featured Graphing Utility that supports graphing up to 5 functions together You can also save your work as a URL (website link) Usage To plot a function just type it into the function boxGraph the ellipse and its foci x^2/9 y^2/4=1 standard forms of ellipse (xh)^2/a^2(yk)^2/b^2=1 (horizontal major axis),a>b (yk)^2/a^2(xh)^2/b^2=1 (vertical major axis),a>b given ellipse has horizontal major axis center(0,0) a^2=9 a=3 b^2=4 b=2 c=sqrt(a^2b^2)=sqrt(94)=sqrt(5)=224 foci=(224,0),(224,0) see graph of givenGraph x^2=y^2z^2 Natural Language;



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As you can see, this graph is of 2 parallel lines This is because the equation x 2 2xy y 2 = 9 can be factored into (xy)(xy) = 9 which is equivalent to (xy) 2 = 9 Then, to simplify this equation, take the square root of both sides and you get two different equations x y = 3 and x y = 33 must be factored from 3x2 9x x must be factored from 3x2 9x 9 must be factored from 9x 18 3 must be factored from 3x2 18 A Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6 (x 1)2?The domain (the xvalues) is all real numbers The range (the yvalues) is all




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Plane z = 1 The trace in the z = 1 plane is the ellipse x2 y2 8 = 1, shown below 6To graph the equation y=3x6, the three values x=0, x=2, and x=3 were arbitrarily chosen Three entirely different values could have been chosen and obtained the exact same graphSo I have a polynomial hose graph is given to me If I have to look at the eccentricity off this graph, I can clearly see that this is mine, Estelle And another one, this one So x intercept our X equal to minus two and X equal to one If I talk about the y intercept So why intercept is the point where it cuts the Y axis?



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To have a vertical tangent, the denominator of the above has to be zero, that is, dy/dx must be undefined x2y = 0 x = 2y sub into the original (2y)^2 (2y)(y) y^2 = 9 4y^2 2y^2 y^2 = 9 3y^2 = 9 y^2 = 3 y = ± ?3 when y = ?3, x = 2?3(e) Below is the graph of z = x2 y2 On the graph of the surface, sketch the traces that you found in parts (a) and (c) For problems 1213, nd an equation of the trace of the surface in the indicated plane Describe the graph of the trace 12 Surface 8x 2 y z2 = 9;X^2y^2=9 (an equation of a circle with a radius of 3) sin (x)cos (y)=05 2x−3y=1 cos (x^2)=y (x−3) (x3)=y^2 y=x^2 If you don't include an equals sign, it will assume you mean " =0 " It has not been well tested, so have fun with it, but don't trust it If it gives you problems, let me know




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Sign Out Question 13, 1 HW Score 1875% 3 of 16 points Points 0 of 1 Save Graph the system of inequalities Next Question 2xy> 4 x54 SD ОА Oc OD B dos OOD EO incorrect 0 Clear All Che Awe Ask My Instructor Print Media scenterwinyes Survey Fall 21 Max Austin & 814 PM Homework WeekX 2 4 y 2 9 z 2 = 1 Multiply both sides of the equation by 36, the least common multiple of 4,9 Multiply both sides of the equation by 3 6, the least common multiple of 4, 9 36x^ {2}9y^ {2}4z^ {2}=36 3 6 x 2 9 y 2 4 z 2 = 3 6 Subtract 9y^ {2} from both sides Subtract 9 y 2




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