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Brian McLogan
Graphing a linear equation in slope intercept form
π Learn how to graph linear equations written in slope intercept form. When given a linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). We first plot the y-intercept and...
Brian McLogan
Graphing exponential growth equations
π Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the...
Brian McLogan
What do you need to know to graph an ellipse for conic sections
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and...
Brian McLogan
How to find vertex, focus and directrix of a horizontal parabola in standard form
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Graphing and describing the characteristics of a parabola by converting using completing the square
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Parenthesis or bracket? domain and range of a graph
π Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Learning how to graph and determine characteristics of a quadratic using vertex formula
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
What is a translation or shift of a quadratic graph
π Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Brian McLogan
Graphing a linear system of linear inequalities
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Learn how to graph an equation with fractions for the slope and y intercept
π Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
How to graph a vertical linear inequality
π Learn how to graph linear inequalities with one variable. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line...
Brian McLogan
Evaluate the six trigonometric functions for the given real number
π Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Learn to solve a system of equations using substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Graphing a system of two inequalities to determine the feasible region
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Learn how to graph a system of linear inequalities in standard form
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
How to graph a quadratic in vertex form
π Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Learn how to graph a linear inequality with shading
π Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...
Brian McLogan
Graphing a linear equation using a table x + y = 4
π Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...
Brian McLogan
Solving and graphing a linear inequality with greater than or equal to ex 2
π Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...
Brian McLogan
Learn how to graph and shade a linear inequality that is horizontal
π Learn how to graph linear inequalities with one variable. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line...
Brian McLogan
Learn how to graph a linear inequality with a negative fraction slope
π Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also...
Brian McLogan
Learn how to graph a line with a negative slope and y intercept at zero
π Learn how to graph linear equations written in slope intercept form. When given a linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). We first plot the y-intercept and...
Brian McLogan
Graphing a natural logarithmic equation using reflection
π Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
How to Graph a Piecewise Function With a Quadratic and Absolute Value
π Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...