Brian McLogan
Master Graphing the cosine function with a Vertical Translation
Master Graphing the cosine function with a Vertical Translation
Brian McLogan
Solving a system using graphing
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
What are the restrictions on our solutions for a rational equation
π Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Solving and graphing an absolute value inequality with an or inequality
π Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value...
Brian McLogan
Solving a system of equations by finding the intersection of two lines
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
How to solve a system of equations by graphing a dependent system
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
Learn how to graph an absolute value equation with a horizontal compression
π Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...
Brian McLogan
Learn how to graph an exponential equation with multiple transformations
π Learn how to graph exponential functions involving vertical shift. 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...
Brian McLogan
Learn how to graph a rational function without any symmetry
π Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Transformations of Functions | Preparing for Precalculus Part 3
Transformations of Functions | Preparing for Precalculus Part 3
Brian McLogan
Finding the vertex and x-intercepts of a quadratic function
π Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
How to write the equation of a line given the slope and point
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
Graphing a two variable inequality by rewriting in slope intercept form
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
Rewriting an equation in slope intercept form so that you can graph it
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
Applying multiple transformations to graph the logarithmic equations
π Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Algebra 1 - Graphing an inequality less than - Free Online Tutoring
In this video series I show you how to graph linear inequalities. When graphing linear inequalities we now have to account for two variables. We graph linear inequalities using the same process as linear equations. We then use shading to...
Brian McLogan
Algebra 1 - Graphing an inequality - Math Homework Answers
In this video series I show you how to graph linear inequalities. When graphing linear inequalities we now have to account for two variables. We graph linear inequalities using the same process as linear equations. We then use shading to...
Brian McLogan
learn to graph a hyperbola given the equation
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Learn How to Graph Cosine with a Change in Period
π Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
How to Graph the Cosine Function with Multiple Transformations
π Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
How to Graph Sine with a Shift to the Left
π Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...
Brian McLogan
Graphing the Sine Functions
π Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...
Brian McLogan
How to determine the parts of a hyperbola and then sketch the graph
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
How To Graph Sine while Forgetting to Reflect the Graph
π Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...