Instructional Video7:01
Brian McLogan

Find the domain and range using the inverse of the square root function

12th - Higher Ed
👉 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...
Instructional Video4:56
Brian McLogan

How to graph an absolute value inequality with a horizontal compression

12th - Higher Ed
👉 Learn how to graph absolute value inequalities. An absolute value inequality is an inequality having the absolute value sign. The graph of the parent function of an absolute value inequality is a v-shaped graph starting from the origin...
Instructional Video4:44
Brian McLogan

Graphing a quadratic function in vertex form with multiple transformations

12th - Higher Ed
👉 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...
Instructional Video4:03
Brian McLogan

Graphing a quadratic function in vertex form with multiple transformations

12th - Higher Ed
👉 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...
Instructional Video5:46
Brian McLogan

Graphing a quadratic with reflection and vertical stretch

12th - Higher Ed
👉 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...
Instructional Video2:51
Brian McLogan

What do I have to know know to graph a quadratic in vertex form

12th - Higher Ed
👉 Learn how to graph quadratic equations by completing the square. 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...
Instructional Video4:17
Brian McLogan

Learning to graph an exponential function with reflection and shift

12th - Higher Ed
👉 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...
Instructional Video2:15
Brian McLogan

Learn to translate an exponential graph using a reflection and horizontal shift

12th - Higher Ed
👉 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...
Instructional Video2:16
Brian McLogan

Learn how to graph the exponential function with reflection about y-axis

12th - Higher Ed
👉 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...
Instructional Video3:32
Brian McLogan

Rotations in degrees for counter and clockwise directions

12th - Higher Ed
👉 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...
Instructional Video2:55
Brian McLogan

Learn how to graph the exponential function with transformations

12th - Higher Ed
👉 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...
Instructional Video1:47
Brian McLogan

Graphing the logarithmic equation with a horizontal & vertical translation

12th - Higher Ed
👉 Learn how to graph logarithmic functions involving vertical shift. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the...
Instructional Video3:40
Brian McLogan

Applying transformations to graph a quadratic in vertex form

12th - Higher Ed
👉 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...
Instructional Video6:20
Brian McLogan

Understanding the vertex and translations of a quadratic

12th - Higher Ed
👉 Learn how to graph quadratic equations by completing the square. 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...
Instructional Video4:11
Brian McLogan

Learning how to graph a quadratic in vertex form with the vertex only being translated

12th - Higher Ed
👉 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...
Instructional Video2:07
Brian McLogan

Find the coordinate point of the given angle

12th - Higher Ed
👉 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...
Instructional Video9:48
Brian McLogan

Graphing rational functions using 5 steps

12th - Higher Ed
👉 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...
Instructional Video6:02
Brian McLogan

Graphing a quadratic with a negative fraction as a in vertex form

12th - Higher Ed
👉 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...
Instructional Video4:18
Brian McLogan

Graphing a quadratic function in vertex form with multiple transformations

12th - Higher Ed
👉 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...
Instructional Video3:14
Brian McLogan

Graph an absolute value equation with multiple translations

12th - Higher Ed
👉 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...
Instructional Video2:56
Brian McLogan

Graph an absolute value equation with a horizontal shift and reflection

12th - Higher Ed
👉 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...
Instructional Video3:08
Brian McLogan

Graph a absolute value equation with a reflection and horizontal translation

12th - Higher Ed
👉 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...
Instructional Video4:12
Brian McLogan

Learning to Find the Angle Given the Inverse Sine of a Value

12th - Higher Ed
👉 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...
Instructional Video4:15
Brian McLogan

Given Transformations, write the equation of the function

12th - Higher Ed
Given Transformations, write the equation of the function