Graph the equation y
[PDF File]V-Shaped Graphs
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graph as y = fX2 when a. x is positive; b. xis negative. 3. .,_ True or False? .fX"2 = x. Explain. As you may remember, the absolute value of a number is the distance between that number and zero. 4. Repeat problems 1-3 for the function y = lxl. Graph the functions in problems 5 through l 0. Use separate axes for each one. Write each equation ...
[PDF File]Linear graphs and models - Cambridge University Press
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a y = 1 +2x b y = 2 +x c y = 10 −x d y = 9 −2x 3 For each of these linear equations, use a graphics calculator to do the following: i Plot a graph for the window given.
[PDF File]Linearizing the Equation - MacEwan University
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The Linear Graph The straight-line (linear) graph is the easiest type of graph to analyze because the functional relation-ship between the plotted variables is easily determined by comparing to the standard format of the equation y = mx+b (B.1) where: y represents the dependent variable, plotted on the vertical axis
[PDF File]Graphing Standard Function & Transformations
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The graph of y = f (-x) is the graph of y = f (x) reflected about the y-axis. Here is a picture of the graph of g(x) =(0.5x)3+1. It is obtained from the graph of f(x) = 0.5x3+1 by reflecting it in the y-axis. Summary of Transformations To graph Draw the graph of f and: Changes in the equation of y = f(x) Vertical Shifts y = f (x) + c y = f (x ...
[PDF File]GRAPHING AND SOLVING POLYNOMIAL EQUATIONS
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(b) The graph crosses the x-axis in two points so the function has two real roots (zeros). Now, let's practice examining a graph and determining the characteristics of its equation. Examine this graph closely, and then answer the questions that follow about the equation of the graph.
[PDF File]Graphing Linear Equations: Slope & y-intercept (y= mx + b)
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Graph a linear equation using the slope and y-intercept. An easier way to graph a linear relation is by using the slope and y-intercept. The slope-intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept. The y-intercept is a constant and is the point where the line crosses the y-axis. Graph this point first.
[PDF File]Lesson Plans to Introduce the Graphing Linear Equations Unit
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Teacher’s notes: Connecting the pattern, the table, the graph and the equation. (cont) y-intercept: the value of y when x=0; On the pattern, the y-intercept is the number of squares for step 0; On the table, the y-intercept is the number of squares for step 0; On the graph, the y-intercept is where the line crosses the y-axes.
[PDF File]LINEAR EQUATIONS AND GRAPHS - Login Page
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b = –4 or y-intercept = (0, –4) To graph a line using the slope and y-intercept: 1) Arrange the equation into the form y = mx + b. (This means to solve the equation for y.) 2) Identify the y-intercept and plot the point (0, b). 3) Use the rise run ratio for slope to plot more points. 4) Draw a line through the points with a straight edge.
[PDF File]1.2 Graphs of Equations Sketching the Graph of an Equation ...
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The graph of an equation is symmetric with respect to the origin if replacing x with –x and y with –y yields an equivalent equation. A function is called even if it is symmetry with respect to the y-axis. A function is called odd if it is symmetric with respect to the origin.
[PDF File]GRAPHING LINEAR EQUATIONS - Palm Beach State College
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The graph of y = b is a horizontal line passing through the point (0, b) on the y-axis. To graph an equation of this form, such as y = 4, plot the point (0, b) on the y-axis and draw a horizontal line through it (see Example 4). If the equation is not in the form y = b, solve the equation for y.
d. Graph the equation.
Y- 29. x+y=l 30. 2x+y= 10 32. y = ax 33. Y EX + 3 35. x 0 36. Y = 5 25. y = + 7 28. lox-I 31. y-x=l 34. y 1 37. x- Critical Thinking Applications and Problem Solving Determine whether each relation is linear. 38. 3x+y=20 yes 39. no 40. yes Graph each equation. 41—49. See Solutions Manual. 41. y=x+ 1.5 44. y = x 47. x+y=2 42. Y- 45. 2x + y = 5 ...
[PDF File]Slope, Intercepts, and Graphing Equations Exam Coach Larry
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Graph the equation y = x. 14. What is the slope of the given graph? A) 1 B) 1 C) 0 D) 3 . 20. Graph a line with an undefined slope and goes through the point (2, -4). 18. Graph the equation using its slope and y-intercept. 3y = -6 + x 17. Which are the x and y-intercepts for the given
[PDF File]Classwork… Graphing Linear Equations using X/Y Tables
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Part 3: Write the equation in function form (solve for y) and then graph the linear equation using a table of values. 13) -3 x – 6 y = 0 14) -2 x + y = 8
[PDF File]Identifying Symmetry in Equations
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on the graph. on the graph. on the graph. II. Algebraic Test for Symmetry – X-Axis Symmetry: Occurs if “y” is replaced with “-y”, and it yields the original equation. Y-Axis Symmetry: Occurs if “x” is replaced with “-x”, and it yields the original equation.
Finding the Equation of a Tangent Line
y x y x y x y y m x x Finally, check with the graph to see if your answer is reasonable. (5) The tangent line appears to have a slope of 4 and a y-intercept at –4, therefore the answer is quite reasonable. Therefore, the line y = 4x – 4 is tangent to f(x) = x2 at x = 2.
[PDF File]Graphing Linear Equations - St. Francis Preparatory School
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Graphing and Systems of Equations Packet 9 Finding the equation of a line in slope intercept form (y=mx + b) Example: Using slope intercept form [y = mx + b] Find the equation in slope intercept form of the line formed by (1,2) and (-2, -7).
[PDF File]Graph Transformations - University of Utah
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Notice on the next page that the graph of (x)2 is the same as the graph of our original function x 2. That’s because when you flip the graph of x over the y-axis, you’ll get the same graph that you started with. That x2 and ( 2x) have the same graph means that they are the same function. We know
[PDF File]Graphing Linear Equations
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EXAMPLE: Graph the equation x = 3. NOTICE that the equation x = 3 does not mention y. This equation could be written as . In this case no matter what value y has, because y is multiplied by 0, x will always be 3. This graph will be a . 03⋅+= yx. vertical line. through the point where . x = 3. Add 2. x. to both sides . Divide each term by −4 ...
[PDF File]Graphs of Equations 2.2 in Two Variables - Pacific University
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Graph of an Equation in Two Variables A point (x, y) satisfies the equation if it makes the equation true when the values for x and y are substituted into the equation. For example, the point (3, 10) satisfies the equation y = x 2 + 1 because 10 = 3 + 1. However, the point (1, 3) does not, because 3 ≠ 12 + 1.
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