Graphing Transformations of the Cube Root Function

This video explains how to graph transformations of the basic cube root function.

Ex: Identify Horizontal and Vertical Stretches and Compressions – Function Notation

This video explains how to recognize a horizontal and vertical compression or stretch using function notation.

The Vertical Line Test

This video explains how to apply the vertical line test to determine if a relation is a function.

Determine a Vertical Stretch or Vertical Compression

This video provides two examples of how to express a vertical stretch or compression using function notation.

Ex 1: Determine the Vertical and Slant Asymptotes of a Rational Function

This video provides an example of how to determine the equations of the vertical and slant asymptotes of a rational function.

Ex 2: Determine the Vertical and Slant Asymptotes of a Rational Function

This video provides an example of how to determine the equations of the vertical and slant asymptotes of a rational function.

First and Second Derivative of Parametric Equations – Concavity

This video provides an example of how to determine the first and second derivative of a curve given by parametric equations. It also explains how to determine the intervals of t for which the curve is concave up or concave down.

Determine the Points Where the Tangent Lines are Horizontal or Vertical Using Parametric Equations

This video explains how to determine the points on a parametric curve where the tangent lines are horizontal or vertical.

Determine the First and Second Derivative Given Parametric Equations

This video provides an example of how to determine the first derivative and second derivative at a given value of t. Then determine the slope of the tangent line and the concavity.

Ex 1: Conic Section – Graph a Hyperbola with Center at the Origin (Horizontal)

This video provides an example of how to graph and find the major components of a hyperbola given the standard equation of the hyperbola. The hyperbola has a horizontal transverse axis.