ATHS Engineering
Alternative Method for Creating Constraints Document in OnShape
The video demonstrates an alternative method for creating a constraints document in Onshape, a 3D CAD software. The teacher shows step-by-step how to create a fully constrained sketch in less than 5 minutes using various tools and...
Brian McLogan
Graphing exponential function
👉 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
What is the formula for an ellipse with a major vertical axis
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and...
Brian McLogan
Learn how to graph an ellipse when the center is at the origin
Learn how to graph horizontal ellipse 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 major...
Brian McLogan
Given the major axis and foci find the standard equation of the ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Given the endpoints of the minor axis and vertices find the equation of the ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
How to graph an ellipse for conic sections
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and...
Brian McLogan
Graph a parabola with the vertex and fractions
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
Brian McLogan
Comparing hyperbolas to ellipse's
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two...
Brian McLogan
how to graph vertical lines of a linear equation, x = -1
👉 Learn how to graph linear equations with one variable. When given a linear equation with one variable in the form x = a or y = c, the two forms of linear equations results in a vertical and horizontal lines respectively. The graph of...
Brian McLogan
Finding the vertical, horizontal and slant asymptotes of a rational function
👉 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...
Brian McLogan
Write the equation of the parabola for conic sections given vertex and focus (mistake)
Learn how to write the equation of a parabola given the vertex and the focus. 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). Recall...
Brian McLogan
Write the equation of an ellipse given the center, vertex and focus
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Write the equation for an ellipse give foci and co vertices
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Learn how to graph an ellipse
Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius...
Brian McLogan
Graph and identify the parts of a ellipse with vertical major axis
Learn how to graph vertical ellipse not centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major...
Brian McLogan
Graph and write the equation of the parabola given the focus and directrix
Learn how to write the equation of a parabola given the focus 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
Given the center, vertex and co vertex, write the equation of the ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Conics how to write the equation of an ellipse given a vertex and focus
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
How to graph an ellipse with the center at the origin
Learn how to graph horizontal ellipse 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 major...
Brian McLogan
Conic section plotting the vertices and co-vertices to write the equation of the ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Graphing a vertical inequality using a table of values
👉 Learn how to graph linear inequalities with one variable. 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 line...
Brian McLogan
Determine the relationship between two angles
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles,...