Transformations From The Graph Of 1 X Geogebra
`rArr" "y^(2)= x` if `1 le x le 0 and y^(2) = x` if `0 le x le 1` Here y should be taken always ve, as by definition, y is ave square root Clearly, `y^(2) =x` represents the upper half of the lefthanded parabola (upper half as y is ve) and `y^(2), = x` represents the upper half of the righthanded parabola Thus, the graph of `y=f(x Probably you can recognize it as the equation of a circle with radius r = 1 and center at the origin, (0,0) The general equation of the circle of radius r and center at (h,k) is (x −h)2 (y −k)2 = r2 Answer link
Y-1=-5(x-2) graph
Y-1=-5(x-2) graph-Scatter Plots A Scatter (XY) Plot has points that show the relationship between two sets of data In this example, each dot shows one person's weight versus their height (The data is plotted on the graph as "Cartesian (x,y) Coordinates")Example The local ice cream shop keeps track of how much ice cream they sell versus the noon temperature on that dayGraphs Solve Equations Substitute 1 for x in y2x=2 Because the resulting equation contains only one variable, you can solve for y directly y=0 Add 2 to both sides of the equation y=0,x=1 The system is now solved Examples Quadratic equation
1
The graph looks like an exponential where x >= 0 although the equation clearly suggests otherwise graphingfunctions Share The x2 is positive so the general graph shape is ∪ Consider the generalised form of y = ax2 bx c 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 to y=1Campare and contrast the graphs on y= (x1)^2 This takes the graph of y = x^2 and moves each point 1 to the left y= (x2)^2 This takes the graph of y = x^2 and moves each point 2 to the left y= (x3)^2 This takes the graph of y = x^2 and moves each point 3 to the left
1plot x^2 2invert it about x axis 3raise it upwards by 1 unit 4This is y=1x^2 5for mod (y), along with this, take mirror image about x axis 6Combined graph is the solution 7Restrict answer between y=1 and y=1 as maximum value of mod (y) is 1 41K viewsSimplify 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 y 2 − x 2 1 = 1 y 2 x 2 1 = 1 y2 − x2 1 = 1 y 2 x 2 1 = 1 This is the form of a hyperbolaDivide 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
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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 parabolaHow 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=x2
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