©Department of Statistics, University of Botswana, January 11 5 Solution 124 x y=Ix2I 5 7 4 6 3 5 2 4 1 3 0 2 1 1 2 0 3 1 4 2 5 3 Vertical Line Test A curve in the xy plane is the graph of a function ( ) y f x if and only if each vertical line intersects it in at most one point (1,2) is the vertex y = (x 1)^2 2 This function is in vertex form y = a(x h) k (h, k) = (1,2) is the vertex to find the yintcept set x=0 and solve y = (0 1)^2 2 y =3 to find the xintcepts set y=0 and solve 0 = (x 1)^2 2 (x 1)^2 = 2 sqrt((x 1)^2) = sqrt(2) x 1 = sqrt(2) x = 1sqrt(2)i so there are no real roots hence no xintercepts graph{(x 1)^2 2Plot sqrt(1 x y), sqrt(x^2 y^2 2 x y) Natural Language;
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Y vs 1/x^2 graph-The graph looks like an exponential where x >= 0 although the equation clearly suggests otherwise graphingfunctions Share edited Mar 17 '16 at 41 mvw 334k 2 22 a find the value of b 2 b
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Cos(x^2) (x−3)(x3) Zooming and Recentering You can clickanddrag to move the graph around If you just clickandrelease (without moving), then the spot you clicked on will be the new center To reset the zoom to the original click on the Reset button Using "a" ValuesAlgebra Graph y=x^ (1/2) y = x1 2 y = x 1 2 Graph y = x1 2 y = x 1 2Advanced Math Advanced Math questions and answers Graph the linear equation 2 y=5*3 y = x 1 x y 1 0 3 00 y = 3 x2 X y 2 1 0 1
A continuous function f, defined for all x, has the following properties 1 f is increasing 2 f is concave down 3 f(13)=3 4 f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f A For Math Which describes the end behavior of the graph of the function f(x)=2x^35x^2x? The graph of y = x^2 is translated 1 unit to the right What is the equation of the new graph?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
Steps Using the Quadratic Formula y= \frac { { x }^ { 2 } 3x2 } { { x }^ { 2 } 1 } y = x 2 − 1 x 2 − 3 x 2 Variable x cannot be equal to any of the values 1,1 since division by zero is not defined Multiply both sides of the equation by \left (x1\right)\left (x1\right) Variable x cannot be equal to any of the values − 1, 1Graph of y = x 1Slope = 1Gradiant = Rise/Run = 1/1 = 1 (Run is always 1)We have a line with slope of 1 and intercepts the yaxis at 1 with two points weAnswer (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, y
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Steps for Solving Linear Equation y = f ( x ) = 2 ( x 1 ) y = f ( x) = 2 ( x 1) Use the distributive property to multiply 2 by x1 Use the distributive property to multiply 2 by x 1 y=2x2 y = 2 x 2 Swap sides so that all variable terms are on the left hand sideFree functions and graphing calculator analyze and graph line equations and functions stepbystep This website uses cookies to ensure you get the best experience By using this website, you agree to our Cookie Policy domain\y=\frac{x^2x1}{x} range\y=\frac{x^2x1}{x} asymptotes\y=\frac{x}{x^26x8} extreme\points\y=\frac{x^2x11) Solve the equation for y 2) Substitute 0 for x, and solve for y to determine the yintercept point 3) Substitute 0 for y, and solve for x to determine the xintercept point
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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, musicGraph the parabola, y =x^21 by finding the turning point and using a table to find values for x and yCompared with the graph of the basic function \(y = x^2\text{,}\) the graph of \(f (x) = (x 2)^2\) is shifted two units to the left, as shown by the arrows You can see why this happens by studying the function values in the table
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Look at the explanation section Given y=1/2x^2 Since it has no constant term, Its vertex and intercept is (0,0) Take a few points on either side of x=0 Find the corresponding y value Tabulate the va;ues Plot the pair of points Join all the points You get the parabolaIn this math video lesson I show how to graph y=(1/2)x2 The equation in this video is in slopeintercept form, y=mxb, and is a common way to graph an equ The #x^2# is positive so the general graph shape is #uu# Consider the generalised form of #y=ax^2bxc# The #bx# part of the equation shifts the graph left or right You do not have any #bx# type of value in your equation So the graph is central about the yaxis The #c# part of the equation is of value 1 so it lifts the vertex up from y=0
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After x 2 was dropped from the model, th e least squares method was used to obtain an estimated regression equation involving only x 1 as an independent variable In the two independent variable case, the coefficient x 1 represents the expected change in x1 corresponding to a one unit increase in y when y is held constantEquation of a straight line is Y=mx c Now , for your equation Y=X1X2 or Y= 2X3 so equating it with the equation of a straight line , m=2 & c=3 Hence, the graph will be a straight line for this equation Start putting X value from zero & plot the Y values and you will get the Coordinates of X,Y which will determine the straight line graphUse "x" as the variable like this Examples sin(x) 2x−3;
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(The graph is called a Witch of Agnesi) f(x)= 7 / x^2 3 (2,1) Calculus Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph To find the point of tangency (x, y) on the graph of f, solve the following equation of f '(x) f '(x) = y0 − yAnswer and Explanation 1 We are asked to graph y = 1 2x−1 y = 1 2 x − 1 To do this, we will find the intercepts of the equation, plot them on the Cartesian plane, and then connect them inSelect a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Substitute the x x value − 1 1 into f ( x) = √ − x 1 f ( x) = x 1 In this case, the point is ( − 1, ) ( 1, )
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A Given that, y = sec x Let y = f(x) We have to prove that, y' = sec x tan x question_answer Q The point (2,1) is the turning point of the graph with equation y=x2 ax b, where a and b are intExplore math with our beautiful, free online graphing calculator Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and moreThe value of g can only be zero when its numerator is zero;
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Axis of Symmetry x = −1 2 x = 1 2 Directrix y = −5 2 y = 5 2 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with − 1 1 in the expression//googl/JQ8NysThe Graphs of y = 1/x and y = 1/x^2 College AlgebraTherefore, g (x) = 0 only when x 2 = 0 Thus, the graph of g has only one xintercept, and this intercept is − 2 61 The domain of h is {x x = ± 1}, so for every number x in the domain of h, the n umber − x is also in the domain Moreover, h − x x (− x) = = − = − h
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How do you graph y4=2(x1)? Please Subscribe here, thank you!!!The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x b Find the values of m m and b b using the form y = m x b y = m x b m = 1 m = 1 b = 1 b = 1 The slope of the line is the value of m m, and the yintercept is the value of b b Slope 1 1
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Graph y= (x1)^22 y = (x − 1)2 2 y = ( x 1) 2 2 Find the properties of the given parabola Tap for more steps Use the vertex form, y = a ( x − h) 2 k y = a ( x h) 2 k, to determine the values of a a, h h, and k k a = 1 a = 1 h = 1 h = 1 k = 2 k = 21) y = (x 1)^2 2) y = (x 1)^2 3) y = x^2 1 4) y = x^2 1 1 See answer Advertisement Advertisement Yaso is waiting for your help Add your answer and earn points GMillar GMillarX^2 2 y^2 = 1 Natural Language;
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Example Use transformations to graph f(x) = 3x 2 Start with a basic function and use one transformation at a time Show all intermediate graphs This function is obtained from the graph of y = 3x by first reflecting it about yaxis (obtaining y = 3x) and then shifting the graph down by 2I am not that good in math in graphing Please help me!Easy as pi (e) Unlock StepbyStep plot x^2y^2x Natural Language Math Input NEW Use textbook math notation to enter your math Try it × Extended Keyboard
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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 squareI'm not going to waste my time drawing graphs, especially one this boring, so I'll take advantage of Desmos graph to do it for me I bet that surprised you!In maths, there is a convention as to the order in
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A rational function is defined by f ( x) = a b x – c where the parameters a, b, c ∈ Z and x ∈ R ∖ { c } The following diagram represents the graph of y = f ( x) Using the information on the graph, state the value of a and the value of c;How do you graph y=x1graphing y=x1 video instruction2 Graph the following lines y 6 x 1 y 2 x 5 a What type of figure is formed u Q from SCIE 001B at American InterContinental University, Houston
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The vertex will be at ( 1, 0) y=2x = (1) (x 2) = 1 * x 2 = x 2 y = 2x is the same as y = x 2 f (x c) shifts a parent graph c units to the right So the whole graph above would get entirely shifted two units to the right The vertex will be at (2, 0) 550 views ·Y=2^(x)1 So your graph of y=2^x will be reflected about the yaxis because of the x It will also be shifted up vertically because of the 1 Ultimately, it looks like this If you multiply all the x's you plotted for the first graph by 1 and then added 1 to all their corresponding y's you'll have points to plot for this graph The graph of y=x^22x1 is translated by the vector (2 3)The graph so obtained is reflected in the xaxis and finally it is stretched by a factor 2 parallel to yaxisFind the equation of the final graph is the form y=ax^2bxc, where a,b and c are constants to be found
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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=$\frac { f ( x ) } { g ( x ) }$Answer (1 of 7) What is the graph of y=1x/1x?Join this channel to get access to perkshttps//wwwyoutubecom/channel/UCFhqELShDKKPv0JRCDQgFoQ/joinHere is the technique to solve this tangent line and no
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So y is always positive As x becomes smaller and smaller then 1/(1x^2) > 1/1 = 1 So lim_(x>0) 1/(1x^2)=1 As x becomes bigger and bigger then 1x^2 becomes bigger so 1/(1x^2) becomes smaller lim_(x>oo) 1/(1x^2)=0 color(blue)("build a table of value for different values of "x" and calculate the appropriate values of y
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