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 andY 3 3x4 yx 3x2 y3x 3x2 y 2 2x4 to menu Products Subjects Business Accounting Economics Finance Leadership Management Marketing Operations Management Engineering Bioengineering Chemical EngineeringLearn how to graph the linear equation of a straight line y = x using table method
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Solve graphically x+y=6 x-y=2
Solve graphically x+y=6 x-y=2-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 Any Explanation x2 y2 − 6x 2y − 6 = 0 → x2 − 6x y2 2y = 6 → x2 − 6x 9 y2 2y 1 = 691 → (x −3)2 (y 1)2 = 42 which is the standard form for a circle with center (3, −1) and radius 4 graph {x^26xy^22y6=0 81, 968, 5404, 348} Answer link
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Graph xy=6 Solve for Tap for more steps Subtract from both sides of the equation Multiply each term in by Tap for more steps Multiply each term in by To find the xintercept (s), substitute in for and solve for Solve the equation Tap for more steps Rewrite the equation asAnswer to Below is the graph of y=f(x) Graph y = f (x) 6 4 2 6 4 2 2 4 x 6 2 4 6Since the answer for this question is a graph, the graph is provided inExplain how to plot x y = 6 on a graph Graphics of lines The simplified equation of a line can be written with the expression {eq}y = mx b {/eq} (slopeintercept form)
Solve and graph the solution set of x^2 x 6 < 0 Graph y = x^2x6 If x = 2 y = 426=0 If x = 3, y = 936=0 If x= 0, y = 6 Plot these three points and draw a parabola thru them =====================Free 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 PolicyY = 0^2 0 6 y = 6;
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 b To solve the equation x 2 – 5x – 14 = 0, subtract x 2 – 5x – 14 = 0 from y 2 = x – 5x – 6 The coordinates of the points of intersection of the line and the parabola forms the solution set for the equation x 2 – 5x – 14 = 0 ∴ Solution {2, 7}Determine 2 points with each point consisting of a xvalue and a yvalue When x = 0, y = 06=6 When x = 1, y = 16=5 Plot the two points and draw a line running through the two points
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To zoom, use the zoom slider To the left zooms in, to the right zooms out When you let go of the slider it goes back to the middle so you can zoom more 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 clickAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How works Test new features Press Copyright Contact us CreatorsThen type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is
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I have linked the graph in an image Stepbystep explanation 1 Simplify y=2/(x1)6 2 Subtract the numbers 16=5 3 = 2/x5 4 Graph your resultsFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor(the y intercept) The vertex is the value of x when the parabola is at minimum Can be found using the vertex equation x = b/(2a) In the form, ax^2 bx c, your equation a = =1, b = 1, c = 6 (not used) x = b/(2a) x = (1)/(2*1) x = 1/2 x = 5 is the vertex, (as you can see by the graph) They did not ask what
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Clickable Demo Try entering y=2x1 into the text box After you enter the expression, Algebra Calculator will graph the equation y=2x1 Here are more examples of how to graph equations in Algebra Calculator Feel free to try them now Graph y=x^22x y=x^22x Graph y= (x3)^2 y= (x3)^2X intercept is found by setting y to 0 axby=c becomes ax=c that means that x = c/a 6/1 = 6 Y intercept is found by setting x to 0 the equation becomes by=c, and therefore y = c/b Y intercept is 6/1 = 6 Slope is 1/1 = 1 Equation in slopeintercept form y=1*x6 Now, we plot the points D(0,2), E(1,0) and F(1,4) on the same graph paper We join D,E and F and extend it on the both sides to obtain the graph of the equation 2x y 2 = 0 It is evident from the graph that the two lines intersect at point F(1,4) The area enclosed by the given lines and xaxis is shown in Fig above
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Graph will always beAll 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}=4 x 2 y x y 2 = 4 Subtract 4 from both sides of the equation2xy = 6⋯(1)To draw the graph ,we need at least two solutions of the equationPut x = 0 in (1)2(0)y = 6 y = 6So (0,6) is a solution of the equationPut y = 0 in (1)2x0= 6 2x = 6 x= 3So (3,0) is a solution of the equationThe area enclosed by the line with coordinate axes is shaded in the graphThe shaded region forms the triangle with base 3 units and height 6 unitsArea of the shaded region is 21 base×height = 21 ×3×6
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Draw The Graph For Each Of The Equation X Y 6 And X Y 2 On The Same Graph Paper And Find The Coordinates Of The Point Where The Two Straight Lines Intersect
You can put this solution on YOUR website! Transcript Ex 63, 1 Solve the following system of inequalities graphically x ≥ 3, y ≥ 2 First we solve x ≥ 3 Lets first draw graph of x = 3 At x = 3, y can have any value Points to be plotted are (3,0) , (3,−1) , (3,3) Drawing graph Checking for (0,0) Putting x = 0, y = 0 x ≥ 3 0 ≥ 3 which is false Hence origin does not lie in plane x ≥ 3 So, we shade right side of line Now weGraphing y = x^2 6x
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Sin (x)cos (y)=05 2x−3y=1 cos (x^2)=y (x−3) (x3)=y^2 y=x^2 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 calculations Write as x y = 6 x − y = 2 −−−−−−−−− ← add to and up with only 1 unknown 2x 0 = 8 Divide both sides by 2 Thus x = 4 '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ To determine value of y Substitute x = 4 into x y = 6 givingThe quadratic formula gives two solutions, one when ± is addition and one when it is subtraction x^ {2}2xy^ {2}2y=0 x 2 2 x y 2 2 y = 0 This equation is in standard form ax^ {2}bxc=0 Substitute 1 for a, 2 for b, and y\left (2y\right) for c in the quadratic formula, \frac {b±\sqrt {b^ {2
Activity 1 1 Draw The Graph Of Xy 6 1 1 1 Does T Gauthmath
1
Solution for X 6 Which of the following equations describes the graph?Y = k − p y = k p Substitute the known values of p p and k k into the formula and simplify y = 11 2 y = 11 2 y = 11 2 y = 11 2 Use the properties of the parabola to analyze and graph the parabola Direction Opens Up Vertex ( 1 2, 23 4) ( 1 2, 23 4) Focus ( 1 2, 6) ( 1 2, 6) Axis of Symmetry x = 1 2 x = 1 2(6, n) is on the graph of y 6 7f(x) with respect to 2 Preview e 72 is on the graph of y = f(23) 3 with respect to a 2 Preview Previous question Next question COMPANY
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X = − y 2 − 1 2 y − 2 8 x = − − y 2 − 1 2 y − 2 8 , y ≥ − 2 2 − 6 and y ≤ 2 2 − 6 Steps by Finding Square Root Steps Using the Quadratic FormulaDraw both an idealized vvst graph and the corresponding avst graph for the cart moving in the positive direction (towards the pulley) speeding up smoothly for half the time then slowing down smoothly for the second half arrow_forward Q Graph the points z=xiy in z1=1 arrow_forward Q Find the linearization L (x) of y=e10xln (x) at a=1 Draw the graphs for the equations x y = 6 and x − y = 2 on the same graph paper and find the coordinates of the point where the two straight lines intersect Share with your friends Share 0 The equations are
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Algebra Solve by Graphing xy=2 , xy=6 x − y = 2 x y = 2 , x y = 6 x y = 6 Subtract x x from both sides of the equation −y = 2−x y = 2 x xy = 6 x y = 6 Multiply each term in −y = 2−x y = 2 x by −1 1 Tap for more steps Multiply each term in − y = 2 − x y = 2 x by − 1 1Extended 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, financeSee the answer See the answer See the answer done loading Show transcribed image text Expert Answer Who are the experts?
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The graph of the lines where X=?Answer to Graph the following lines 5 x 3 y = 15 and 2 x 6 y = 12 By signing up, you'll get thousands of stepbystep solutions to yourExperts are tested by Chegg as specialists in their subject area We review their content and use
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Graph y=x^26 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for The focus of a parabola can be found by adding to the ycoordinate if the parabola opens upGraph y=x6 Use the slopeintercept form to find the slope and yintercept Tap for more steps The slopeintercept form is , where is the slope and is the yintercept Find the values of and using the form The slope of the line is the value of , and the yintercept is the value of Slope Set the denominator equal to zero and solve for x x^2x6= 0 (x3)(x2) = 0 x =3 and x=2 There are vertical asymptotes at x = 2 and x =3 Step 4 Find the horizontal asymptote The degree of the denominator is less than the degree of the numerator, so The horizontal asymptote is at y=0 (the xaxis) Step 5 Draw your axes and the asymptotes Step 6 Sketch the graph in each region defined by the asymptotes (a) The left hand region has the xaxis and x=2 as asymptotes f(3) = 1/6
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Example 4 Graph x y Solution First graph x = y Next check a point not on the line Notice that the graph of the line contains the point (0,0), so we cannot use it as a checkpoint To determine which halfplane is the solution set use any point that is obviously not on the line x = y The point ( 2Compute the area between y=x and y=x^26 Natural Language;Question Below is the graph of y=f(x) Graph y=f(x) y 6 4 2 6 4 2 2 ܠ 6 2 4 6 This problem has been solved!
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Sketch the region enclosed by the curves y2 = 2x6 and y = x−1 and find the area Sketch the region enclosed by the curves y2 = 2x6 and y = x−1 and find the area slope yintercept ↓ ↓ 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 answerSee the graph below Explanation We can do the discriminant test A x 2 B x y C y 2 D x E y F = 0 Discriminant, Δ = B 2 − 4 A C What is the domain and range of f(x,y)=3x^22y^25 What is the domain and range of f ( x , y ) = 3 x 2 2 y 2 − 5
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Graph will always be a vertical line A vertical line means an undefined slopeThe Y=?Y=x^21 (Graph Example), 4x2=2 (x6) (Solve Example) Algebra Calculator is a calculator that gives stepbystep help on algebra problems See More Examples » x3=5 1/3 1/4 y=x^21 Disclaimer This calculator is not perfect Please use at your own risk, and please alert us if something isn't working Thank you
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