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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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreGraph a function by translating the parent function17 Transformations 123 2 to all of the xvalues of the points on the graph of y= f(x) to e ect a shift to the right 2 units Generalizing these notions produces the following result




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Graph y= (x3)^24 Find Vertex (3,4) Find YIntercept set x=0 y=3^24=94=5Algebra Graph y= (x2)^24 y = (x − 2)2 − 4 y = ( x 2) 2 4 Find the properties of the given parabola Tap for more steps 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 = 2 h = 2 k = − 4 k = 42x2y=4 Geometric figure Straight Line Slope = 1 xintercept = 2/1 = 0000 yintercept = 2/1 = 0000 Rearrange Rearrange the equation by subtracting what is to the right of the




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A 4,3 The x coordinate of the vertex is given by x = b/2a and the y coordinate of the vertex is given by y= f( b/2a), we need to transform the equationThen graph the equation by hand Use a graphing calculator to verify your worky = (x 3) Write an equivalent expression for the function that could be graphed with a graphing calculator Then graph the function with a graphing calculatorf (x) = log4 (xThe 4 Graph Quadrants There are four graph quadrants that make up the Cartesian plane Each graph quadrant has a distinct combination of positive and negative values Quadrant I The first quadrant is in the upper righthand corner of the plane Both x and y have positive values in this quadrant Quadrant II The second quadrant is in the




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We designate (3, 5) as (x 2, y 2) and (4, 2) as (x 1, y 1) Substituting into Equation (1) yields Note that we get the same result if we subsitute 4 and 2 for x 2 and y 2 and 3 and 5 for x 1 and y 1 Lines with various slopes are shown in Figure 78 belowWhich graph can Jalen use to show his solution? Graph #y2=2/3(x4)# The easiest way to find points on the line is to convert the given equation in point slope form to slope intercept form #y=mxb#, where #m# is the slope, and #b# is the yintercept In order to do this, solve the point slope equation for #y# #y2=2/3(x4)# Add #2# to both sides #y=2/3(x4)2# Simplify #2/3(x4)# to #(2(x4))/3#




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Find the equation of the parabolic graph that passes through the points {eq}( x, y) = (1,0), (2, 3), (4, 3) {/eq} Exhibit the three linear equations in the threeSimplify the expression Please show all the steps @ ( 2 x 4 / 2 ) 3 x 4 y 5 3 4 x 2 w 3 4 1 3 x 34 ) 2 4 7 12 6 * 24 2 x y Match each table to its graph (answers entered on next slide) To create the equation for a table, you can find the starting value by determining the yvalue corresponding to x=0I want to graph the curve of y=(4x^2)^5 without using a graphing calculator To do this, I'm suppose to find domain, y and x intercepts, asymptotes, intervals of increase/decrease, local max/min, concavity and points of inflection I got all the way to the step where I'm solving the concavity and I'm stuck




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Graph y=2/3x4 y = 2 3 x − 4 y = 2 3 x 4 Rewrite in slopeintercept form 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 Reorder terms y = 2 3 x − 4 y = 2 3 x 4 y = 2 3x− 4 y = 2 3 x 4Y4=3x6 y=3x64 y=3x2 Slope=3 yintercept=2 So now you are going to graph this plotting the point (0,2) andwith the slope of find the next poit Hope you understand =)You can put this solution on YOUR website!



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The graph of y=x is transformed as shown in the graph below Which equation represents the transformed function?Popular Problems PreAlgebra Graph y3=3/2* (x4) y − 3 = − 3 2 ⋅ (x 4) y 3 = 3 2 ⋅ ( x 4) Move all terms not containing y y to the right side of the equation Tap for more steps Add 3 3 to both sides of the equation y = − 3 x 2 − 6 3 y = 3 x 2 6 3 Add − 6 6 and 3 3Free graphing calculator instantly graphs your math problems



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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by highschool and college students The algebra section allows you to expand, factor or simplify virtually any expression you choose It also has commands for splitting fractions into partial fractions, combining several fractions into one and hello y 2 = 3/4 (x4) y = (3/4)x 5 x=0 y = 5 x=4 y = 8 two points (0,5) ( 4 , 8) look graph search rotate tramwayniceix and 67 more users found this answer helpful4 units to the left 4 units to the right 8 units to the left 8 units to the right 4 units to the left Which equation has a graph that is a parabola with a vertex at (2, 0)?



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