The video is a lecture presentation on the topic of reflections of graphs. The presenter explains the concept of reflection and how and why graphs get reflected in the X or Y axis using mirror lines. They use examples to explain the...

👉 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...

4d Example 1 (Evaluate Trig Functions using intercepts of the unit circle)

👉 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...

👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....

In this video lesson we will learn how to reflect images in the coordinate plane over the x and y axis. We will first identify the line of reflection given in the instructions. We will then determine the distance the original point is...

👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...

👉 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...

T Misconceptions Transformations of Functions

👉 Learn all about logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a number is...

👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...

4e Example 2 (How to Graph the Tangent Function Part 1)

The relation between ordered pairs differs only by signs with reflections over the x- and y-axes.

👉 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 evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...

People from all over the world reflect on what they remember about the first day of school. For some people it was traumatic, for others it was exciting. How do these first day stories compare to your own early memories of school?

👉 Learn how to graph exponential functions in base e. An exponential function is a function whose value increases rapidly. e is a constant called the exponential constant equal to 2.7183... To graph an exponential function, it is usually...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also...

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...

This video is a tutorial on translations and reflections of graphs in mathematics. The instructor explains how to manipulate the graph of a function by sliding or reflecting it. They also provide examples of how to shift a graph...

An internally frosted, large light bulb is dipped into a fish tank of water, and the total internal reflection effect produces 'other-worldly' consequences to how the bulb looks in the water. The bulb goes from white to a silvery orb....

👉 Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine 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...