👉 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...

👉 Learn how to graph quadratic equations in vertex form. 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...

👉 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...

👉 Learn how to graph absolute value equations when we have a value of b other than 1. B will affect our horizontal shift as well as horizontal stretch compress. We will do this by first identifying the axis of symmetry and using a table...

👉 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...

👉 Learn how to graph a cotangent function. To graph a cotangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift...

4e definitions (Basics of Graphing Sine, Cosine, Tangent)

👉 Learn how to graph quadratic equations in vertex form. 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...

👉 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...

👉 Learn how to graph quadratic equations in vertex form. 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...

👉 Learn how to graph exponential functions involving horizontal 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...

Learn all about solving absolute value equations. We will explore what makes up an absolute value symbol, what steps to follow when solving, how to know when you have extraneous solutions and how to set up two cases.

Transformations between functions

Let's discover how to identify the asymptotes and intercepts of a rational function. We will begin graphing the reciprocal function and use that to help us understand the asymptotes and intercepts of any reciprocal function. I make...

👉 Learn how to graph the cube root function. Like other functions, to graph the cube root function, we first graph the parent function (i.e the graph of f(x) = cube root of x) and then we apply the required transformations to the parent...

👉 Learn the basics of graphing trigonometric functions. The graphs of trigonometric functions are cyclical graphs which repeats itself for every period. To graph the parent graph of a trigonometric function, we first identify the...

👉 Learn how to graph quadratic equations in vertex form. 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...

The easy way to apply basic transformations to algebraic functions.