Brian McLogan
How to Graph a Piecewise Function and Determine Domain and Range
👉 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...
Brian McLogan
What is the definition of the inverse Tangent function
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Curated Video
Graphing Quadratic Functions in Intercept Form
This lesson will explain how to graph a quadratic function in intercept form. You will learn how to find the axis of symmetry given the intercepts and how to find the value of a to write a function.
Brian McLogan
How can we determine if a quadratic has a max or min value
👉 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
Master Graphing Exponential Equations with transformations determine domain range
Master Graphing Exponential Equations with transformations determine domain range
Curated Video
Proportionality
What is proportionality? How does it relate to pattern? Learn the answers to these questions and explore the basics of proportional relationships in this video.
Brian McLogan
Math tutorial for graphing a two variable inequality
👉 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
Graph a linear equation by first rewriting it from standard form to slope intercept form
👉 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 write a piecewise function from a given graph - Homework help online
👉 Learn how to write the piecewise function given the graph. A piecewise function is a function having different rules/equations for different intervals. When interpreting the graph of a piecewise function, we take note of the arrows the...
Brian McLogan
Completing the square and finding the x intercepts
In this math tutorial I will show you how to sketch a quadratic function, find the axis of symmetry, determine the y-intercepts and find the zeros or x-intercepts. To find the x-intercepts we use such methods as setting the equation...
Brian McLogan
how to determine the foci and vertices of a hyperbola
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
Graphing an ellipse and identify the major parts
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the...
Brian McLogan
Master Graphing Logarithmic equations with reflections then determine the domain and range
Master Graphing Logarithmic equations with reflections then determine the domain and range
Curated Video
Graphing Quadratic Functions in Standard Form
This video lesson introduces/reviews how to graph a quadratic function in standard form.
Brian McLogan
Given vertices and asymptotes, write the equation of the hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Curated Video
Comparing Inequalities Using Graphs
This video goes over the similarities and differences between two inequalities, highlighting the importance of understanding the inequality signs and the order of the variables. We emphasizes the need to carefully graph the inequalities...
Brian McLogan
What do you have to know to graph a parabola
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
How to write the equation of a parabola given vertex and directrix
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Brian McLogan
How to solve a word problem for linear programming
Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints....
Brian McLogan
Graphing Cosine with a Reflection, Change in Amplitude, Period and Phase Shift
👉 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
Determine the domain of a square root function
Determine the domain of a square root function
Brian McLogan
Master Solving a system of equations by graphing
Master Solving a system of equations by graphing
Brian McLogan
Learn how to graph an absolute value equation by identifying the vertex first
👉 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...