For these solutions to exist, the discriminant should not be a negative number First, we need to compute the discriminant Discriminant d=4 is greater than zero That means that there are two solutions Again, the answer is 0, 2Y=x^2 WolframAlpha Volume of a cylinder?Y=x2 (1,1) (4,2) Figure 2 The area between x = y2 and y = x − 2 split into two subregions If we slice the region between the two curves this way, we need to consider two different regions Where x > 1, the region's lower bound is the straight line
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Y x 2 how to graph-Free math problem solver answers your algebra homework questions with stepbystep explanations2 Answers2 Your differential equation xy ′ − y = x2 can, assuming x ≠ 0, be rewritten as y ′ − 1 xy = x This is a first order differential question of the form y ′ P(x)y = Q(x) Such equations can be solved by finding an integrating factor, say μ, which when we multiply through by μ, the lefthand side is an exact derivative
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#1 First post for me, so if I'm breaking a rule be gentle If someone can point me to how to get the theta, pi, etc, symbols that would be great also y=x^2 rsin (theta)=rcos (theta)rcos (theta) rsin (theta)=r^2 x cos^2 (theta) At this point I'm kind of lost, maybe I went down the wrong path Help appreciated, Thanks and RegardsPiece of cake Unlock StepbyStep y=x^2 Extended Keyboard ExamplesYou can put this solution on YOUR website!
SOLUTION graph the quadritic equation y= x^2 2x Practice!Find the Domain and Range y=x^2 y = x2 y = x 2 The domain of the expression is all real numbers except where the expression is undefined In this case, there is no real number that makes the expression undefinedY = x^2, x = y ^2;
Free Parabola calculator Calculate parabola foci, vertices, axis and directrix stepbystepY=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 =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 sides
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How to graph this equation Step 1 Draw up a table of values that can be used to construct the graph Step 2 Draw your yaxis as a vertical line and your xaxis as a horizontal line Mark the relevant points for the x and y values Draw freehand as best as you can a smooth curve that passes through those points Answer linkAs you can see, this is again a linear differential equation of the type dy/dx Py = Q, where Q is a function of x We rearrange the original DE to get dy/dx y = x^2 > 1 The Integrating Factor = e^(Integral of P dx) = eAlgebra 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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To find the x x coordinate of the vertex, set the inside of the absolute value x − 2 x 2 equal to 0 0 In this case, x − 2 = 0 x 2 = 0 x − 2 = 0 x 2 = 0 Add 2 2 to both sides of the equation x = 2 x = 2 Replace the variable x x with 2 2 in the expression y = ( 2) − 2 y = ( 2) 2Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyFree quadratic equation calculator Solve quadratic equations using factoring, complete the square and the quadratic formula stepbystep
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Polynomial identities (short multiplication formulas) (x y) 2 = x 2 2xy y 2 (x y) 2 = x 2 2xy y 2 Example 1 If x = 10, y = 5a (10 5a) 2 = 10 2 2·10·5a (5a) 2 = 100 100a 25a 2 Example 2 if x = 10 and y is 4 (10 4) 2 = 10 2 2·10·4 4 2 = 100 80 16 = 36 The opposite is also true 25 a 4a 2 = 5 2Use 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,Graphing y = x 2 We have already discovered how to graph linear functions But what does the graph of y = x 2 look like?
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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 Note it may take a few seconds to finish, because it has to do lots of calculationsAbout x = 1Find the volume of the solid obtained by rotating theregion bounded by the given curves about the specified line Sketchthe reSimple and best practice solution for y=x2 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand,
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Plot y=x^2 WolframAlpha Assuming "plot" is a plotting function Use as referring to geometry insteadSolution 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 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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Hi 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 theHow to Check Your Answer with Algebra Calculator First go to the Algebra Calculator main page Type the following First type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6Graph 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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Reason x/y y/x = 2 Given x≠0 and y≠0 Because then the original question would be dividing by zero xy≠0 Because neither factor is zero (xy) (x/y y/x) = (xy) 2 Multiply both sides of given equation by (xy); Namely, let us write y = − v ′ v, then y ′ = − v ″ v v ′ 2 v 2 so that the equation becomes linear (1) v ″ x 2 v = 0 If we further introduce (2) v ( x) = x ⋅ f ( x 2 2), then (1) transforms into a particular case of the Bessel equation for f ( t) t 2 f ″ t f ′ ( t 2 − 1 16) f = 0 It has the general solutionFree slope calculator find the slope of a line given two points, a function or the intercept stepbystep
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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#Graph y=x^2 Graph of a Parabola In mathematics, a quadratic equation is a polynomial equation in which the highest exponent of the independent variable is twoCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history
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We can do this because we are not multiplying by zero y = x 2 The yintercept is where the line crosses the yaxis So which ever graph has 2 as the yintercept in correctIts more complex when the graphs have the same intercept but in this case this should be easy to find So looking at the graphs you can see that the 3rd graph is the correct answer I hope this helps love!Suppose the curves are x = y2 and x = 4 y2 and and you want to find points on the two curves with the same yvalue Then substitute y 2 from the first equation into the second to obtain x = 4 x So to achieve the same yvalue the xvalue on the second curve must be (minus) 4 times the xvalue on the first curve x = 4y2 and x = y2
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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 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 constantSet 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 negative, the parabola opens down Opens Down
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All equations of the form a x 2 b x c = 0 can be solved using the quadratic formula 2 a − b ± b 2 − 4 a c The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction x^ {2}yxy^ {2}=13 x 2 y x y 2 = 1 3 Subtract 13 from both sides of the equationCompute 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
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Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields It only takes a minute to sign upHow do you graph y=x2Video instruction on how to graph the equation y=x2Swap 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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