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Brian McLogan
Graphing a quadratic equation using transformations
👉 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...
Curated Video
Reflections The Mathematical Flip
This video lesson is the second video in the playlist or unit of videos on transformations. The first video explained translations. This video explains reflections as the mathematical flip over the line of reflection. Real world...
Brian McLogan
How to graph the inverse sine given the graph of sine
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
Comparing the exponetial and logarithmic graphs
👉 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
Graphing a quadratic function in vertex form with reflection
👉 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...
Curated Video
Blues in Nature
Blue is a relatively rare color in nature. Learn how texture, water, and other things can bend and distort light to make an object look deceptively blue.<b<br/>r/>
Colors part 4
Colors part 4
Brian McLogan
Graphing logarithmic equations
👉 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
Graphing and determining the inverse of a function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
Learn how to reflect a triangle over the y axis ex 2
👉 Learn how to solve for unknown variables in congruent triangles. Two or more triangles are said to be congruent if they have the same shape and size. When one of the values of a pair of congruent sides or angles is unknown and the...
Brian McLogan
How to graph the equation of a square root
👉 Learn how to graph the square root function. Like other functions, to graph the square root function, we first graph the parent function (i.e the graph of f(x) = square root of x) and then we apply the required transformations to the...
Brian McLogan
Find the domain and range using the inverse of the square root function
👉 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...
Brian McLogan
Learning to graph an exponential function with reflection and shift
👉 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
How to evaluate for secant of a negative angle using period as an aide
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
How to determine the max or min of a quadratic function in vertex form
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Graphing a quadratic with a negative fraction as a in vertex form
👉 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...
Brian McLogan
Graphing a quadratic function in vertex form with multiple transformations
👉 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...
Curated Video
KS2 Primary Maths Age 9-13 - Reflection: - Explained
SchoolOnline's Primary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 9-13, they cover every key topic and sub topic covered in Maths in clear and easy to follow steps. This video looks at...
Brian McLogan
Learn how to find sketch the graph of an exponential functions
👉 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...
Curated Video
Reflections: The Mathematical Flip
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...
NASA
WFIRST's Wide Field Instrument
In order to know how the universe will end, we must know what has happened to it so far. This is just one mystery NASA's forthcoming Wide Field Infrared Survey Telescope (WFIRST) mission will tackle as it...
Brian McLogan
Graph the secant function with a phase shift
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
How to use period as an aide to evaluate for the tangent function of an angle
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
Math tutorial for graphing an exponential function
👉 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...
Brian McLogan
Graph the parent graph then transform it based on the function, y = -2^(x-3)
👉 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...