Linear and Quadratic Graphs Exercises STUDYSmarter Solutions Question 1 (a) x y 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 (1;1) (2;4) ( 1;3) (b) x y 5 4 3 2 1 1 2 3 4 5🎉 Meet students and ask top educators your questionsIt also tells us that the graphs y = 2x and y = log 2(x) are reflections of each other in the line y=x 5 4( 1) 2 x y Use a few specific values of x to check exp&log graphs 10/6/07 4 Example 3 Below I have sketched graphs of 13 members of the family y = rx belonging to the r values r = 1/5, 1/3, 1/2, 1/16, 1/14, 1/12, 1, 12, 14, 16, 2, 3, 5 If you drew a vertical line at x=1
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Graph y=5(1/2)^x+4-The equation $$ y = 2x $$ expresses a relationship in which every y value is double the x value, and $$ y = x 1 $$ expresses a relationship in which every y value is 1 greater than the x value So what about a Table Of Values?The graph of y=f(x) is shown below f(x) The coordinates of the maximum point of this curve are (1, 4) Write down the coordinates of the maximum point of the curve with equation f(x) (1) (1) (1) (1) f(x) 3 (Total for uestion 1 is 4 marks) 2 The graph of y — f(x) is shown below f(x) The coordinates of the mimmum point ofthls curve are (2, —3) Write down the coordinates of the minimum
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If an equation can be rearranged into the form \(y = mx c\), then its graph will be a straight line \(3x 4y = 12 \) can be rearranged as \(y = \frac{3}{4}x 3\) Vertical lines haveMatch the function with its graph 7 y 5 24x2 1 3 8 y 5 3x2 1 4 9 y 5 1} 3 x2 2 4 10 y 5 1} 4 x2 2 3 11 y 5 23x2 1 4 12 y 5 4x2 1 3 A x y 1 3 23 21 1 3 B x y 1 21 1 21 25 C x y 1 23 3 21 D x y 1 21 1 21 23 25 E x y 1 3 23 21 1 3 F x y 1 23 3 23 Describe how you can use the graph of y 5 x2 to graph the given function 13 y 5 x2 2 8Assume the point {eq}(5,4) {/eq} is on the graph of {eq}y=f(x) {/eq} Determine the value of n in the following situations a) {eq}(5,n) {/eq} is on the graph of {eq}y=2f(x) {/eq}
Plot these graphs onto the axes and label each graph The point of intersection is (2, 3) which means \(x = 2\) and \(y = 3\) Solving linear and quadratic equations graphically HigherThe graph y = x2 – 2x – 4 is drawn below for values of x between –3 and 4 (a) Using the graph, find the solutions of x 2 – 2 x – 4 = 0, giving your answers to 1 decimal placeExample 6 Find five ordered pair solutions and graph − 5 x 2 y = 10 Solution Remember that you can choose any real number for the independent variable x, so choose wisely here Since the denominator of the coefficient of the variable x is 2, you can avoid fractions by choosing multiples of 2 for the xvalues In this case, choose the set of xvalues {−6, −4, −2, 0, 2} and find
Circle on a Graph Let us put a circle of radius 5 on a graph Now let's work out exactly where all the points are We make a rightangled triangle And then use Pythagoras x 2 y 2 = 5 2 There are an infinite number of those points, here are some examplesImage Transcriptionclose y = 2x 4 y = x 2 Plot two lines by clicking the graph Click a line to delete it 10 8 7 5 4 10 9 8 3432 10 314 Straight Line Graphs 141 Coordinates You will have used coordinates in Unit 3 of Book Y7A In this section, we revisit coordinates before starting work on lines and graphs Remember that the first number is the xcoordinate and the second number is the ycoordinate Example 1 What are the coordinates of the points marked on the following grid –10 –1–9 –8 –7–6–5–4–3 –2
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/12/ · Also, since \(y=4\), the point is above the xaxis The point \((−5,4)\) is in Quadrant II ⓑ Since \(x=−3\), the point is to the left of the yaxis Also, since \(y=−4\), the point is below the xaxis The point \((−3,−4)\) is in Quadrant III ⓒ Since \(x=2\), the point is to the right of the yaxisY=5/4 x^2 Log On Algebra Rational Functions, analyzing and graphing SectionGraph y5=2(x4) Move all terms not containing to the right side of the equation Tap for more steps Add to both sides of the equation Add and 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
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Graphs Solve Equations Calculus Derivatives Integrals Limits Algebra Calculator Trigonometry Calculator Calculus Calculator Matrix Calculator Solve algebra trigonometry statistics calculus matrices variables list Solve for y y=\frac{x^{2}4}{\left(x9\right)x^{2}},x\neq 9\text{ and }x\neq 0 y = − (x − 9) x 2 x 2 − 4 , x = 9 and x = 0 Graph Quiz Algebra 5 problemsWe will go to the Charts group and select the X and Y Scatter chart In the dropdown menu, we will choose the second option Figure 4 – How to plot points in excel Our Chart will look like this Figure 5 · Graph the equation y^2=12x Art Help Please!!!!!
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Free graphing calculator instantly graphs your math problems Mathway Visit Mathway on the web Download free on Google Play Download free on iTunes Download free on Amazon Download free in Windows Store get Go Graphing Basic Math PreAlgebra Algebra Trigonometry Precalculus Calculus Statistics Finite Math Linear Algebra Chemistry GraphingAnswer to Graph y = x^2 and x = y^2 on a 2D plane By signing up, you'll get thousands of stepbystep solutions to your homework questions YouY = 5/4 x 5 Which also shows the slope to be 5/4 and the yintercept to be 5 Special cases Sometimes we may want to graph equations with only one variable in the coordinate system For example y = 4 or x = 2 are equations that contain only one variable, but it is possible to graph them as lines In the case of y = 4, the set of points that satisfy the equation are all points that have y
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The xaxis and the yaxis cross at the origin, (0, 0) To locate the point A (2, 3), go 2 units horizontally from the origin in the positive xdirection and then 3 units vertically in the positive ydirection, as shown in theShow steps y=x^212x4 college algebraThe way to graph y=5/4x set y=0 and solve for x 0=5/4x x=0 or this defines the point (0,0) now set y to any other number like 4 & solve for x;
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Figure 3 – X vs Y graph in Excel If we are using Excel 10 or earlier, we may look for the Scatter group under the Insert Tab In Excel 13 and later, we will go to the Insert Tab;Algebra > Rationalfunctions> SOLUTION graph the parabola what is a parabola?Plot them and draw a line through them y=5/4x2 is a linear equation (in slopeintercept form, although I won't particularly use this information) As long as we pick values of x that are multiples of 4, we we obtain integer values for y (which should make the plotting easier)
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· First Point For #x = 0# #y = 5 (4 xx 0)# #y = 5 0# #y = 5# or #(0, 5)# First Point For #x = 2# #y = 5 (4 xx 2)# #y = 5 8# #y = 3# or #(2, 3)# We can next plot the two points on the coordinate plane graph{(x^2(y5)^05)((x2)^2(y3)^05)=0 15, 15, 75, 75} Now, we can draw a straight line through the two points to graphOur Discord hit 10K members!In this math video lesson I show how to graph y=(1/5)x4 The equation in this video is in slopeintercept form, y=mxb, and is a common way to graph an equ
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I 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 I found the f"(x) and it came out to be really large polynomial I want toHow to graph equations by finding the yintercept and slopeUse the given graph of the function y = f(x) to find the following quantities, if they exist y 61 6 5 4 3 N 1 4 3 X 4 2 1 1 2 3 (a) lim f(x) x→2 (b) lim f(x) x1 (c) lim f(x) x1 (d) lim f(x) x1 (e) f(1) Question Use the given graph of the function y = f(x) to find the following quantities, if they exist y 61 6 5 4 3 N 1 4
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The position of a point on a graph is given by its (x, y) coordinates This position is always measured from the origin, (0, 0) where the axes cross TJP TOP TIP x is a cross (=across), and y to the sky Right and Up are the positive directions Left and Down are the negative directions Point A is at (3, 5) and point B is at (1, 3) It is best to plot points by marking an X using a pencil🎉 Meet students and ask top educators your questionsTo create a portfolio of work, thsi artist would do all of the following except The picture is of a robot in black and white A include more drawings of characters the artist has created to show creativity B include a variety Algebra2 What is the vertex form of the equation?
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4 (a) Complete the table of values for y = 2x 5 x –2 –1 0 1 2 y 15 (2) (b) On the grid, draw the graph of y = 2x 5 for values of x from x = –2 to x = 2 (2) (Total for Question 4 is 4 marks) y x 10 9 8 7 6 5 4 3 2 1 O –1 –2 –1 1 2The graphs section contains commands for plotting equations and inequalities The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notationSolution for (y< 2 Graph ly> 글x2 x 2 4 5 4 3 2 1 2 4 5 2 4 5 Clear All Draw Question Help D Video Submit Question 3
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Is (5,4) on the graph of y=2 x3 ?The value of seconds may be a decimal value, such as 05 42 Axis Ranges (x_range, y_range) By default, the XGRAPH utility is self scaling That is, XGRAPH will pick the necessary axis ranges to exactly contain all the data you present to it There are however occasions when you may wish to use specific axes ranges of your own You can specify the range for the vertical and/or horizontalWe then note that the graph of (5, 4) also lies on the line To find solutions to an equation, as we have noted it is often easiest to first solve explicitly for y in terms of x Example 2 Graph x 2y = 4 Solution We first solve for y in terms of x to get We now select any two values of x to find the associated values of y We will use 2 and 0 for x Thus, two solutions of the equation are
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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 How to Use the Calculator Type your algebra problem into4=5/4xnow cross multiply 4*5/4=x x=/4 x=5 or point (5,4) y=5x/4 (red line) 2y5x=2 2y=5x2 y=5x/22/2 y=5x/21 (green line) (graph 300x0 pixels, x from 6 to 5, y from 10 to 10, of TWO functions y = 5x/4 and y = 5x/2 1)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 capabilities to the broadest possible
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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 capabilities to the broadest possibleSketch the graph of y=x^{2}5 x4 Our Discord hit 10K members! · We can use this point and the slope as a means to quickly graph a line For example, to graph \(y=\frac{3}{4}x−2\), start at the \(y\)intercept \((0,−2)\) and mark off the slope to find a second point Then use these points to graph the line as follows Figure \(\PageIndex{8}\) The vertical line test indicates that this graph represents a function Furthermore, the domain and
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(b) On the grid below, draw the graph of y = 11x – 2x2 – 12 for 1 ≤ x ≤ 45 4 4 (c) By drawing a suitable line, use your graph to solve the equation 11 x – 2 x 2 = 11 · Since y=5/4x2 is a linear equation, we only need to find two solution coordinates;Two parabolas are the graphs of the equations y=2x^210x10 and y=x^24x6 give all points where they intersect list the points in order of increasing xcoordinate, separated by semicolons Two parabolas are the graphs of the equations y = 2 x 2 − 1 0 x − 1 0 and y = x 2 − 4 x 6 give all points where they intersect list the points in order of increasing xcoordinate, separated by
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