• #### Symmetry of Polar Graphs - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the x-axis.
• #### The Reflection y = f(-x) - Concept

##### Math›Precalculus›Introduction to Functions
How to reflect the graph of y = f(x) across the y-axis.
• #### The Reflection y = f(-x) - Problem 1

##### Math›Precalculus›Introduction to Functions
How to find the equation of the reflection of the graph y = f(x) of a radical function about the y-axis, and how to graph it.
• #### The Reflection y = f(-x) - Problem 2

##### Math›Precalculus›Introduction to Functions
How to find the equation of the reflection of the graph y=a*f(x-h) + k of a quadratic function about the y-axis, and how to graph it.
• #### Reflections - Concept

##### Math›Geometry›Transformations
How to describe the effect of a reflection, how to describe the effect of the ordered pair rules (x,y) -> (-x, y),(x,y) -> (x, -y), (x,y) -> (y, x).
• #### Symmetry of Polar Graphs - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the y-axis when the first test of symmetry doesn't work.
• #### Reflections - Problem 4

##### Math›Geometry›Transformations
How to describe the transformation given by (x,y) -> (-x, y+1).
• #### Reflections - Problem 1

##### Math›Geometry›Transformations
How to reflect a figure over the y-axis.
• #### Reflections - Problem 2

##### Math›Geometry›Transformations
How to reflect a figure over x = 2.
• #### Symmetry of Polar Graphs - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to test a polar equation for symmetry about the x- or y-axis.
• #### Reflections - Problem 3

##### Math›Geometry›Transformations
How to find the minimal path between two objects.
• #### Definite Integrals and Area - Problem 2

##### Math›Calculus›The Definite Integral
How to find the area bounded between a curve and an x-axis when the curve goes below the x-axis.
• #### Square Matrices - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to interpret 2x2 matrices as transformations.

• #### Families of Polar Curves: Roses - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph members of the polar family r = a sin(b*theta) when b is even.
• #### Families of Polar Curves: Roses - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to describe Roses, the family of curves with equations r=acos(b*theta) or r=asin(b*theta) when b >=2 and is an integer.