Compute answers using Wolfram's breakthrough technology &About x = 1Find the volume of the solid obtained by rotating theregion bounded by the given curves about the specified line Sketchthe reGraph the parabola, y =x^21 by finding the turning point and using a table to find values for x and y
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Free equations calculator solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps Type in any equation to get the solution, steps and graphProfessionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge andDirection Opens Up Vertex (1 2,− 49 4) ( 1 2, 49 4) Focus (1 2,−12) ( 1 2, 12) Axis of Symmetry x = 1 2 x = 1 2 Directrix y = −25 2 y = 25 2 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x
Example is y = x 2 symmetric about the yaxis?Free Parabola calculator Calculate parabola foci, vertices, axis and directrix stepbystepGet stepbystep solutions from expert tutors as fast as 1530 minutes
Explanation A function gives just one y for every x In this case there will always be two y 's for every x, because the reverse will be y = √x or y = − √x Example x = 4 → y = − 2 or y = 2 Answer linkTo find the xintercept (s), substitute in 0 0 for y y and solve for x x 0 = x 2 0 = x 2 Solve the equation Tap for more steps Rewrite the equation as x 2 = 0 x 2 = 0 x 2 = 0 x 2 = 0 Take the square root of both sides of the equation to eliminate theInverse sqrtx Not a function But see below y=x^2 Since x^2 = y then x=sqrty Let f^1(x) be the inverse of y Thus, f^1(x) = sqrtx By definition, a function is a process or a relation that associates each element x in the domain of the function, to a single element y in the codomain of the function In this case, a single element in the domain of f(x) associates with two
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1, we have that 0 <Graph 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 AnyThe equation #y=x# is saying whatever value you decide to give to #x# will also end up being the same value for #y# Notice that the graph goes upwards as you move from left to right This is called a positive slope (gradient) If it had been #y=x# then the slope would go down as you move from left to right This is what happens when the #x# in the equation is written as #x#
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Try to replace x with − x y = (−x) 2 Since (−x) 2 = x 2 (multiplying a negative times a neagtive gives a positive), there is no change So y = x 2 is symmetric about the yaxisPoint Slope Slope Intercept Form DistanceHow do you graph y=x2Video instruction on how to graph the equation y=x2
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Find the X and Y Intercepts y=x2 Find the xintercepts Tap for more steps To find the xintercept (s), substitute in for and solve for Solve the equation Tap for more steps Rewrite the equation as Add to both sides of the equation Multiply each term in by Tap for more steps Multiply each term in byIs addition and one when it is subtraction x^ {2}8xy1=0 x 2 8 x − y − 1 = 0 This equation is in standard form ax^ {2}bxc=0 Substitute 1 for a, 8 for b, and 1y for c in the quadratic formula, \frac {b±\sqrt {b^ {2}4ac}} {2a}Knowledgebase, relied on by millions of students &
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Y=x^240 Simple and best practice solution for Y=x^240 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve itThe equation is invariant under the above scaling whenever α = ±Domain range of values that can be substituted for #x# in a function in this case, #x# needs to have an existing square to be part of the domain of the function #y = x^2# any number can be squared, including positive and negative numbers and #pi# This means that the domain goes from #oo# to #oo#, which is formatted in brackets as #(oo, oo)# range range of values
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X^2 WolframAlpha Volume of a cylinder?For them we say that f ( x) = f ( y) Then we know what f does to them and we will get x 3 = y 3 Applying the thirdroot will give us x = y That means that f ( x) = x 3 is injective The same argument wont work with f ( x) = x 2 You have to careful applying the square root okPiece of cake Unlock StepbyStep Extended Keyboard Examples
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Y = x^2, x = y ^2;Set y y equal to the new right side y = x 2 y = x 2 y = x 2 y = x 2 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 = 0 h = 0 k = 0 k = 0 Since the value of a a is positive, the parabola opens up Opens UpSwap sides so that all variable terms are on the left hand side x^ {2}2x=y4 Subtract 4 from both sides x^ {2}2x1^ {2}=y41^ {2} 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
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Find the Vertex y=x^2 y = x2 y = x 2 Rewrite the equation in vertex form Tap for more steps Complete the square for x 2 x 2 Tap for more steps Use the form a x 2 b x c a x 2 b x c, to find the values of a a, b b, and c c a = 1, b = 0, c = 0 a = 1, bConsider the random variable X with probability density function f ( x) = { 3 x 2;High School Math Solutions – Quadratic Equations Calculator, Part 2 Solving quadratics by factorizing (link to previous post) usually works just fine But what if the quadratic equation
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So x2 − 2xy −y2 = x−(1 2 )y The question amounts to showing that the elliptic curve Y^2 = X^2X1, Z^2 = X^2X1 has no rational points other than those with X=0 and X=\infty That can be done by elementary means but The question amounts to showing that the elliptic curve Y 2 = X 2 X 1, Z 2 = X 2 −X 1 has no rationalSolution Steps y = x2 y = x 2 Swap sides so that all variable terms are on the left hand side Swap sides so that all variable terms are on the left hand side x2=y x 2 = y Subtract 2 from both sides Subtract 2 from both sidesAlgebra Graph y=x2 y = x − 2 y = x 2 Use the slopeintercept form to find the slope and yintercept Tap for more steps 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
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Implicit Differentiation
The equation is now solved x^ {2}mxm2=y Swap sides so that all variable terms are on the left hand side x^ {2}mx2=ym Subtract m from both sides x^ {2}mx=ym2 Add 2 to both sides x^ {2}\left (m\right)x=ym2 Quadratic equations suchβ It means, It suggests the change of variables u ≡ y x y = u x Namely, You could treat 2 x y y ′ = x 2 − y 2 as homogeneous (after a bit of algebra) But this is an exact equation You have P = − x 2 y 2 and Q = 2 x y Notice that P y = 2 y = Q xUse the distributive property to multiply y by x 2 1 Add x to both sides Add x to both sides All equations of the form ax^ {2}bxc=0 can be solved using the quadratic formula \frac {b±\sqrt {b^ {2}4ac}} {2a} The quadratic formula gives two solutions,
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Otherwise Find the probability density function of Y = X 2 This is the first question of this type I have encountered, I have started by noting that since 0 <Knowledgebase, relied on by millions of students &Compute answers using Wolfram's breakthrough technology &
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Graphing y = x 2 We have already discovered how to graph linear functions But what does the graph of y = x 2 look like?Solution Steps y = x2 y = x − 2 Swap sides so that all variable terms are on the left hand side Swap sides so that all variable terms are on the left hand side x2=y x − 2 = y Add 2 to both sides Add 2 to both sidesThe quadratic formula gives two solutions, one when ±
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How to graph y = x^2Quadratic function graphingDescribe the Transformation y=x^2 The parent function is the simplest form of the type of function given For a better explanation, assume that is and is The transformation being described is from to The horizontal shift depends on the value of The horizontal shift is described asTo find the answer, make a data table Data Table for y = x 2 And graph the points, connecting them with a smooth curve Graph of y = x 2 The shape of this graph is a parabola Note that the parabola does not have a constant
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Piece of cake Unlock StepbyStep y=x^2 Extended Keyboard ExamplesGraph a function by translating the parent functionExample 2 y = x 2 − 2 The only difference with the first graph that I drew (y = x 2) and this one (y = x 2 − 2) is the minus 2 The minus 2 means that all the yvalues for the graph need to be moved down by 2 units So we just take our first curve and move it down 2 units Our new curve's vertex is at −2 on the yaxis
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2 Write cos(x 3) as cos(x^3) 3 Write e x lnx as e^xln(x) 6 Ensure that the input string is as per the rules specified above An online derivative calculator that differentiates a given function with respect to a given variable by using analytical differentiation A useful mathematical differentiation calculator to simplify the functionsHi Mike, y = x 2 2 is a quadratic equation of the form y = ax 2 bx c, let a = 1, b = 0 and c = 2 You can certainly plot the graph by using values of x from 2 to 2 but I want to show you another way I expect that you know the graph of y = x 2 If you compare the functions y = x 2 and y = x 2 2, call them (1) and (2), the difference is that in (2) for each value of x theY=X^2 Transformations Y=X^2 Transformations Log InorSign Up y = a bx − h 2 k 1 h = 0 2 k = 0 3 a = 1 4 b =
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1 So X 2 is distributed over ( 0, 1)Plot y=x^2 WolframAlpha Assuming plot is a plotting function Use as referring to geometry instead
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