Graph y 2 = 3/4 (x 4) The water flow rate through an 8inch pipe is 1,600 gallons per minute The water flow rate through a 4inch pipe is 260 gallons per minuteTo find the ycoordinate of the vertex, substitute x 4 into the equation of the parabola y xx2 8 7 ( 4)2 8( 4) 7 16 32 7 9 The coordinates of the vertex are ( 4, 9) b) Factor and solve the corresponding quadratic equation y x2x2 6 0 x2 2 x 6 0 x2 2 3x 4x 6 0 x(2 3) 2(2x 3) 0 (2x 3)(x 2) 2x 3 0orx 2 0 x or x 2 The xintercepts are and 2 Now, find the xcoordinate of the vertex The dotted line signifies that the value of y can never actually be 2^x4 color(blue)("Determine the key points") When x=0" "ul("the dotted line") goes through y=14=3 When y=0" "ul("the dotted line") goes through 2^x=4=>x=2 As x increases a lot 2^x increases a lot and the influence of 4 from y>2^x4 becomes less and less until it becomes isignificant " "lim_(x> oo) y >lim_(x>oo)2^x > oo As x decreases it becomes negative so we have y>2^(x)4" ">" "y>1/(2^(x))4 giving " "lim_(x
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Graph the circle (x+3)^2+(y-4)^2=4
Graph the circle (x+3)^2+(y-4)^2=4-Which phrase best describes the translation from the graph y = 2(x 15)2 3 to the graph of y = 2(x 11)2 3?2X=3*4 2X=12 X=12/2 X=6 WHICH IS THE POINT (6,0) NOW PLOT THESE 2 POINTS (0,4)& (6,0) DRAW A LINE THROUGH THEM (SHOULD BE THE SLOPE OF 2/3 THE GRAPH SHOULD LOOK LIKE (graph 300x0 pixels, x from 6 to 6, y from 10 to 10, y = 2x/3 4)
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Answer to 4) Graph y= log2 (x2) yaxis (4 points) yaxis 6 61 5 5 4 4 3 3 2 2 1 Xaxis 1 Xaxis 6 5 4 3 2 1 2 3 4 5 6 1 2A What is the solution to 4 5e^ (x2) = 11 A The table below shows the number of days, y, needed to complete a project as a function of the number of fulltime people working on the project Which rational function best models the data inAnswer by lwsshak3 () ( Show Source ) You can put this solution on YOUR website!
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 click on the Reset button Using "a" Values There is a slider with "a =" on it You can use "a" in your formula and then use the slider to change the value of "a Blue graph is #y=2x^23x4# It takes the yvalue you would have obtained on the blue graph at its #(x4)# and plotted it at #x#The consequence of this is as though the whole thing has been 'shunted' to the right on the xaxis by 4CALCULUS Limits Functions de ned by a graph 1 Consider the following function de ned by its graphx y 6 5 4 3 2 1 0 1 2 3 4 5 4 3 2 1 0 1 2 u 3 e e
This preview shows page 6 8 out of 8 pages Then sketch the graph (a) y = 2 x 3x 24 x 4 (b) y = x 66 5 x 5 Solution (a) (i) Intercepts We first determine the intercepts For x = 0, we have y = 4 For y = 0, we have to solve the equation 2 x 3x 24 x 4 = 0 which is not convenient to do Hence we list only yintercept here, that is, the point (0, 4) (ii) Monotonicity We nowTranslate it to make it the graph of y=x24 6 (0,0) 2 6 2 4 6 8 The quadrilaterals JKLM and PQRSCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history
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65 4 53 2 1 2 3 42 O y=22²Graph the given equation First plot the solutions of the equation for the given values of {eq}x {/eq}, and then connect the points with a smooth graphGraph y(2)=3/4*(x1) Move all terms not containing to the right side of the equation Tap for more steps Subtract from both sides of the equation To write as a fraction with a common denominator, multiply by Graph the line using the slope and the y
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Transcribed image text 1 2 3 4 Below is the graph of y=x?Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreGraphing the line y = x 3 on a Cartesian Graphgraph the function y=x3 Graphing the line y = x 3 on a Cartesian Graphgraph the function y=x3
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1 Graph y x= −2 3 4 and describe the equation as a transformation of the parent graph (8 pts) x y 2 Graph y x=− 2 5 6 and describe the equation as a transformation of the parent graph(8 pts) x y 3 Describe the resulting equation if the parent graph y x= 2is scaled by vertically by 2 units, shifted 3 units right, and shiftedY4=3(x2) First you need to put this in slopeintercept form;How to graph equations by finding the yintercept and slope
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The graph of the equation x^2/3 y^2/3 = 4^2/3 is one of a family of curves called astroids because of their star like appearance (as shown in the accompanying figure) Find the length of this particular astroid by finding the length of half the firstquadrant portion, y = (4^2/3 x^2/3)^3/2, Squareroot 2 lessthanorequalto x lessthanorequalto 4, and multiplying by 8Example 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 ( Substitute 2 into the original equation 22 −(4)(2) 3 4 − 8 3 −1 Therefore, the y coordinate of the vertex is at y = −1 Then you can roughly sketch out the graph using the two roots and the vertex Here is the graph graph {x^24x3 10, 10, 5, 5} For better accuracy, you can always make a table of values
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