Posts Tagged ‘graphing’
Thursday, November 19th, 2009
The X and Y Axis on a Cartesian Graph
Description
A detailed tutorial of the x axis and the y axis. Step by step tutorial including several examples of the x axis and the y axis for reference.
Overview
The the Cartesian coordinate system, there is an x axis and a y axis. The x axis runs horizontally across the system and all first terms in ordered pairs are x coordinates, from the x axis. The y axis runs vertically across the system and all second terms in ordered pairs are y coordinates, from the y axis. The x and y axis work together to use a pattern of right angles and perpendicular lines in order to find ordered pairs and coordinates of x and y on the graph.
Tags: algebra, angle, axis, basic, cartesian, coordinate, graphing, graphs, horizontal, lines, ordered, pairs, perpendicular, right, system, vertical, x, y
Posted in Algebra | No Comments »
Thursday, September 17th, 2009
How to Graph the Cosine Function
Description
A detailed tutorial on the solving of the graph of the cosine function. Step by step tutorial including several examples of how to solve the graph of the cosine function for reference.
Overview
Graphing the cosine function is not difficult, but there are a few steps you need to follow. The first is, you need to find all the different points on the graph. You do this by taking a unit circle and using radians and reference points to find all of your coordinates. Then plot your points on the graph, and “connect the dots”. The graph of the sine function should resemble a “wave” That simply goes down once in a big loop and comes back up again.
Tags: coordinates, cosine, function, graph, graphing, intercepts, Math, reference angle, trig, trigonometry, unit circle, wave, x, y
Posted in Trigonometry | No Comments »
Thursday, September 17th, 2009
How to Graph the Sine Function
Description
A detailed tutorial on the solving of the graph of the sine function. Step by step tutorial including several examples of how to solve the graph of the sine function for reference.
Overview
Graphing the sine function is not difficult, but there are a few steps you need to follow. The first is, you need to find all the different points on the graph. You do this by taking a unit circle and using radians and reference points to find all of your coordinates. Then plot your points on the graph, and “connect the dots”. The graph of the sine function has points at (0, 0), (pi/2, 1), (pi, 0), (3pi/2, -1), and (2, 0). The x-coordinates are all the main points around the circle while the y-cooridnates are your reference points. The graph of the sine function should resemble a “wave” that starts at the origin and travels in curves going both up and down.
Tags: coordinates, function, graph, graphing, intercepts, Math, reference angle, sine, trig, trigonometry, unit circle, wave, x, y
Posted in Trigonometry | No Comments »
Tuesday, September 15th, 2009
Finding the Slope of a Line
Description
A detailed tutorial on how to find the slope of a line. Step by step tutorial including several examples of how to find the slope of a line for reference.
Overview
Finding slope isn’t all that difficult. The slope of a line is the numerical expression of the slant of a line on a graph. The slope is represented by the letter m and is written in the format of rise over run – in other words, from point to point, how many spaces up the line goes and how many spaces over. Negative numbers are used if the slope runs either down or to the left instead of up and to the right. If the graph is already provided, the slope can be found by counting. But the correct way to find slope is to use a formula.
m = (change in y) / (change in x)
In order to use this formula, you need to have two points on the line. The change in x is the first x-coordinate minus the second x-coordinate, and the change in y is the first y-coordinate minus the second y-coordinate. The equations in the numerator and denominator are solved seperately and will form one fraction, which will be the slope.
Tags: algebra, change in x, change in y, formula, fraction, graph, graphing, line, m, Math, rise over run, slope, x-coordinate, y-coordinate
Posted in Algebra | 1 Comment »
Friday, September 11th, 2009
How to Translate Graphs
Description
A detailed tutorial on the translation of graphs. Step by step tutorial including several examples of translating graphs for reference.
Overview
There are different ways to translate graphs, but the easiest way is to memorize the general rules for translation. This tells you what parts of the equation do what to your basic graph. Starting with a graph of y = f(x), these would be your basic rules:
y = f(x – a) moves a units to the right
y = f(x + a) moves a units to the left
y = f(x) + a moves a units up
y = f(x) – a moves a units down
y = f(-x) reflects over the y-axis
y = -f(x) reflects over the x-axis
Reflections are always done before translations, not the other way around, because if you do your translation first you will end up with your shape having the wrong coordinates.
Tags: algebra, down, graph, graphing, graphing techniques, graphs, left, Math, refliection, right, translate, translation, up
Posted in Algebra | No Comments »
Friday, September 11th, 2009
How to Use the Vertical Line Test
Description
A detailed tutorial on how to use the Vertical Line Test for grphing functions. Step by step tutorial including several examples of how to use the Vertical Line Test for reference.
Overview
The Vertical Line Test is a test used to find out if a graph is a function or not. If the vertical line only passes through the line or curve once, then the graph is a function. If the vertical line passes through the line or curve more than once, or not at all, then the graph is not a function. The vertical line only hitting the graph once must be true for every single place the vertical line could be drawn or the graph is not a function.
Tags: algebra, functions, graphing, graphs, line, Math, point, vertical, vertical line test
Posted in Algebra | No Comments »
Friday, September 11th, 2009
How to Use the Point-Slope Formula
Description
A detailed tutorial on the point-slope formula. Step by step tutorial including several examples of how to find the equation of a line using the point-slope formula for reference.
Overview
There are many different formulas for basic graphing, and one of these is the point-slope formula. As you may have guessed from the name, in order to use this formula you must already have the slope and a point on the line. This formula is used to find the equation of a line. This is the point-slope formula:
Where the variable m stands for the slope, 
stands for the y-intercept minus the y-coordinate of the point, and 
stands for the x-intercept minus the x-coordinate of the point.
Tags: algebra, equation of a line, graph, graphing, Math, point, point-slope formula, slope, x-coordinate, x-intercept, y-coordinate, y-intercept
Posted in Algebra | No Comments »
Thursday, September 10th, 2009
How to Find X and Y Intercepts on a Graph
Description
This video is a tutorial on how to find x and y intercepts when graphing an equation. It is shown how to continue on and graph the problem. This video provides several example problems.
Overview
Finding x and y intercepts is a simple process if the graph is in front of you, but what if you need to find the intercepts in order to graph the equation? An x-intercept is the point where the line or curve intercepts the x-axis, and is expressed as (x,0). A y-intercept is the point where the line or curve intercepts the y-axis, and is expressed as (0,y). Because you know that when you are solving for an intercept, the other variable is 0, this makes it quite easy to solve for. In a normal graphing equation, there are two variables, an x and a y. To solve for an x-intercept, set the y value equal to 0 and solve for x. To solve for a y-intercept, set the x value to 0 and solve for y. These are your intercepts.
Tags: algebra, equation, graphing, graphs, intercept, Math, x and y intercepts, x-axis, x-intercept, y-axis, y-intercept
Posted in Algebra | No Comments »
Thursday, September 3rd, 2009
A Basic Look at Graphing on the Coordinate Plane
Description
This video outlines the different parts of the graphs and illustrates how to properly label all parts of the coordinate plane. Real world examples are given of graphs and graphing systems. Examples of how to plot points are provided in the video.
Overview
The coordinate plane, or the cartesian plane, is commonly known by math students as a blank graph. Graphs consist of two lines that are perpendicular to each other – the horizontal x axis and the vertical y axis. Each axis has a set of numbers, where the top and right of the lines are positive and the bottom and left of the lines are negative. The very center of the graph is known as the origin. The origin is the point (0, 0). Because of the two lines, the graph is split up into 4 sections, called quadrants. The quadrants are labelled at I, II, III, and IV (roman numerals for 1, 2, 3, and 4). They start at the top right corner and continue counter-clockwise around the graph. Quadrant I is a positive quadrant, Quadrant III is a negative quadrant, and Quadrants II and IV have both positive and negative numbers. Points on the graph are found in these four quadrants. The points are written as (x, y) and can be found by tracing up and down along the number values on the graphs until the two lines meet. The place where the lines meet is your point.
Tags: algebra, arithmetic, axis, cartesian, coordinate, graphing, graphs, Math, origin, plane, quadrants, x-axis, y-axis
Posted in Arithmetic | No Comments »
Thursday, September 3rd, 2009
How to Put Equations into Slope-Intercept Form
Description
This video explains how to solve equations and put them into the format y = mx + b so they can easily be graphed. It provides two examples of slightly different equations and shows how to put them into a slope-intercept form so you can graph the equations.
Overview
When graphing, you may be asked to graph an equation that looks like x + y = b. In order to graph this equation, it needs to be in the form of y = mx + b. This is called slope-intercept form. The slope of the line is represented by m, in the form of rise over run, and the y-intercept is represented by b. As in normal algebra problems, you will be required to add, subtract, or divide as neccessary to place the numbers and variables in their proper place.
Tags: algebra, graphing, graphs, intercepts, Math, rise over run, slope, slope-intercept form, y=mx+b
Posted in Algebra | 1 Comment »
