matrices square matrices matrix multiplication transformations reflection across the x axis reflection across the y axis 185 videos

The Reflection y = f(x)
Precalculus Introduction to Functions
How to reflect the graph of y = f(x) across the yaxis.
functions parent functions reflection 
Reflections
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).
transformation isometry orientation image equidistant ordered pair rules map x axis y axis line y = x 
Square Matrices
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
matrices rows columns dimension matrix multiplication 
The Inverse of a Square Matrix
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices are inverses.
matrices square matrices the identity matrix matrix multiplication invertible inverse matrix 
Glide Reflections
Geometry Transformations
How to describe a glide reflection and identify the information needed to perform a glide reflection.
composition of transformations translation glide reflection parallel lines ordered pair rule 
Invertible Square Matrices and Determinants
Precalculus Systems of Linear Equations and Matrices
How to determine whether a square matrix is invertible using its determinant.
square matrices invertible determinant zero determinant inverse of a 2x2 matrix 
The Identity Matrix
Precalculus Systems of Linear Equations and Matrices
How to determine the identity matrix of order n.
matrices square matrices the identity matrix matrix multiplication 

The Vertex and Axis of Symmetry
Algebra Quadratic Equations and Functions
How to find the vertex and axis of symmetry of a parabola.
vertex axis of symmetry 
Introduction to Matrices
Algebra 2 Matrices
How to talk about matrices.
matrix dimensions element row column 
Augmented Matrices
Algebra 2 Matrices
How to use matrices to solve a system of linear equations.
augmented matrix row operations scalar multiple 
Matrix Operations
Algebra 2 Matrices
How to use simple matrix operations.
adding matrices scalar multiple matrix matrices 
Graphing the Transformation y = a f(x) + k
Precalculus Introduction to Functions
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
functions transformations stretch compression reflection vertical shift turning point 
Reflectional Symmetry
Geometry Transformations
How to identify and describe reflectional symmetry.
symmetry figure maps isometry mirror image square equilateral triangle 
Solving Systems using Matrices
Algebra Solving Systems of Equations
How to use matrices to solve a system of equations.
matrix coefficient matrix inverse matrix system of equations 
Reflection  Refraction
Physics Light
Understanding reflection and refraction.
refection refraction mirrors 
Solving Linear Systems Using Matrix Algebra
Precalculus Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it.
matrices square matrices matrix equation coefficient matrix inverse matrix identity matrix matrix multiplication 
Graphing the Transformation y = f(x  h)
Precalculus Introduction to Functions
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
functions transformations horizontal shift end point 
Symmetry of Polar Graphs
Precalculus Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the xaxis.
polar graph polar equation symmetry reflection x axis symmetric about the x axis 
Compositions of Transformations
Geometry Transformations
How to define a composition of transformations; how to perform a composition of translations.
combination of isometries transformation translation reflection rotation