25 ++ y=x^2 2 308552-Y=x^2+2 domain and range
Get stepbystep solutions from expert tutors as fast as 1530 minutesGraphing y = x 2 We have already discovered how to graph linear functions But what does the graph of y = x 2 look like?Graph 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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Y=x^2+2 domain and range
Y=x^2+2 domain and range- 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 linkUse 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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The equation is invariant under the above scaling whenever α = ± β 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 xFree Parabola calculator Calculate parabola foci, vertices, axis and directrix stepbystepAbout x = 1Find the volume of the solid obtained by rotating theregion bounded by the given curves about the specified line Sketchthe re
Find two different parametric equations for the rectangular equation y = x^2 1Y=2^x WolframAlpha Rocket science?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 WolframAlpha brings expertlevel knowledge and
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyGet stepbystep solutions from expert tutors as fast as 1530 minutesHow to graph y = x^2Quadratic function graphing
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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history 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 ok 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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Solution Describe The Change In Y X 2 For Each Equation Y X 6 2 The Phrase Quot Describe The Change Quot Confuses Me Is This The Same As Solving Should I Be Changing The Equation To
Algebra 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 bHow do you know if #y=164x^2# opens up or down?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 functions
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Not a problem Unlock StepbyStep Extended KeyboardSet 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 UpSolution 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 sides
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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyFree 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 graphY=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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Inverse 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 twoCompute 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 WolframAlpha brings expertlevel knowledge andThe 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 such
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Consider the random variable X with probability density function f ( x) = { 3 x 2; How do you graph #y=x^22x3#? We are given the quadratic function y = f (x) = (x 2)2 For the family of quadratic functions, the parent function is of the form y = f (x) = x2 When graphing quadratic functions, there is a useful form called the vertex form y = f (x) = a(x −h)2 k, where (h,k) is the vertex Data table is given below (both for the parent function and
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See all questions in Quadratic Functions and Their Graphs Impact ofHi 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 theGraph 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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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyGraph a function by translating the parent function Example 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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Plot y=x^2 Extended Keyboard;To 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 constantOtherwise 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 < x < 1, we have that 0 < x 2 < 1 So X 2 is distributed over ( 0, 1)
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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 equationA y = x^2 2 B y = x^2 2 C y = x^2 2 D y = x^2 2 Is there any way to solve this without graphing it or using intuition, ie by using equations?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 by
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Rewrite as x^22xy=0 This is a quadratic equation in variable x Don't be confused, I'm just pointing out that we will temporarily be thinking of y as a constant (a number) We would solve by factoring if we could, but we can't so we'll use the quadratic formula, which says that the solutions to 2x^2 bx c = 0 are x=(bsqrt(b^24ac))/(2a)Find the Area Between the Curves y=x , y=x^2 y = x y = x , y = x2 y = x 2 Solve by substitution to find the intersection between the curves Tap for more steps Substitute x 2 x 2 for y y into y = x y = x then solve for x x Tap for more steps Replace y y with x 2 x 2 in the equation x 2 = x x 2 = xSwap 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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Direction 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 The 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#If, 0 < x < 1 0;
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Describe 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 as Which equation represents the image of y = x^2 2 after a reflection in the yaxis?How do you graph y=x2Video instruction on how to graph the equation y=x2
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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 sidesDivide 22\sqrt {y} by 2 The equation is now solved Swap sides so that all variable terms are on the left hand side Factor x^ {2}2x1 In general, when x^ {2}bxc is a perfect square, it can always be factored as \left (x\frac {b} {2}\right)^ {2} Take the square root of both sides of the equation SimplifyFind 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, b
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Solution Find The Axis Of Symmetry For Y X 2 2 Find The Vertex For Y X 2 2 Thank You
How do you find the xcoordinate of the vertex for the graph #4x^216x12=0#?Y = x^2, x = y ^2;Slope y=x2 Slope Calculator Symbolab Line Equations Line Given Points Given Slope & Point Slope Slope Intercept Form Distance
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