axis of symmetry 21 videos
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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 -
Rotational Symmetry
Geometry Transformations
How to define rotational symmetry and identify the degree of rotational symmetry of common regular polygons.
symmetry rotation point symmetry image equilateral triangle -
Reflectional Symmetry
Geometry Transformations
How to identify and describe reflectional symmetry.
symmetry figure maps isometry mirror image square equilateral triangle -
Symmetry of Polar Graphs
Precalculus Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the x-axis.
polar graph polar equation symmetry reflection x axis symmetric about the x axis -
Introduction to Parabolas
Algebra 2 Quadratic Equations and Inequalities
How to talk about a parabola.
parabola vertex axis of symmetry -
Introduction to Parabolas
Precalculus Equations of Lines, Parabolas and Circles
How to talk about a parabola.
parabola vertex axis of symmetry -
Symmetry of Graphs: Odd and Even Functions
Precalculus Introduction to Functions
How to recognize the graph of an even or odd function.
even functions odd functions symmetric with respect to the y axis symmetric with respect to the origin parent functions -
Graphing Quadratic Equations
Algebra Quadratic Equations and Functions
How to graph a quadratic equation by hand.
x intercepts y intercepts vertex axis of symmetry discriminant substitute -
Rotation and Revolution
Physics Circular Motion and Rotational Mechanics
Understanding the differences between rotations and revolutions.
rotation revolution axis spin orbit -
The Reflection y = f(-x)
Precalculus Introduction to Functions
How to reflect the graph of y = f(x) across the y-axis.
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 -
The Ellipse
Algebra 2 Conic Sections
All about ellipses.
ellipse co vertices vertices major axis minor axis focus foci x radius y radius -
The Ellipse
Precalculus Conic Sections
All about ellipses.
ellipse co vertices vertices major axis minor axis focus foci x radius y radius -
Families of Polar Curves: Roses
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.
polar graph polar equation polar curve roses symmetric about the x axis symmetric about the y axis. -
Plotting Points and Naming Quadrants
Algebra Graphs and Functions
How to plot points and name quadrants.
origin quadrants rectangular coordinates Cartesian coordinates points axis -
Rectangular Coordinate System
Algebra 2 Graphs of Linear Equations
How to talk about the rectangular coordinate system.
rectangular coordinate system xy axis quadrant points on a line finding intercepts -
Introduction to Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to describe a point's location with polar coordinates, and how to convert from polar coordinates to rectangular coordinates.
polar axis pole origin coordinates rectangular coordinates polar coordinates coordinate system Pythagorean theorem sine cosine tangent -
Integer Power Functions
Precalculus Polynomial and Rational Functions
How we identify odd power functions and even power functions.
odd power functions even power functions domain range end behavior symmetric about origin symmetric about y axis