symmetric about the y axis 22 videos
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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 -
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 -
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. -
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 -
The Ellipse
Precalculus Conic Sections
All about ellipses.
ellipse co vertices vertices major axis minor axis focus foci x radius y radius -
Introduction to Parabolas
Precalculus Equations of Lines, Parabolas and Circles
How to talk about a parabola.
parabola vertex axis of symmetry -
The Transformation y = f(bx)
Precalculus Introduction to Functions
How determine what transformation the graph y = f(bx) represents when b > 1.
the square root function horizontal shift horizontal compression compression factor endpoint -
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 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 -
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 -
Families of Polar Curves: Conic Sections
Precalculus Polar Coordinates and Complex Numbers
How to describe the polar equations of conic sections.
polar graph polar equation polar curve conic sections focus origin pole parabola symmetric about the x axis parabola vertex -
The Hyperbola
Precalculus Conic Sections
How to talk about hyperbolas.
hyperbola vertices co vertices transverse conjugate focus -
Graph of the Tangent Function
Precalculus Trigonometric Functions
How to graph y = tan(theta) for 0 <= theta < pi/2.
tangent the unit circle asymptotes -
Transforming the Tangent Graph
Precalculus Trigonometric Functions
How to graph y = tan(q) for one or more periods.
sine cosine tangent opposite angle identities intercepts asymptotes periodicity period -
Intercepts and Asymptotes of Tangent Functions
Precalculus Trigonometric Functions
How to find the x-intercepts and vertical asymptotes of the graph of y = tan(q).
sine cosine tangent zeros x intercepts vertical asymptotes -
Graphing Rational Functions, n less than m
Precalculus Polynomial and Rational Functions
How to recognize when y = 0 is the horizontal asymptote of a rational function.
rational functions polynomials degree horizontal asymptote -
Transforming the Graphs of Sine and Cosine
Precalculus Trigonometric Functions
How the values of A and B affect the shape of the graph y = A sin(Bx).
sine period amplitude stretch compression reflection -
Applied Linear Equations: Tax Problem
Precalculus Linear Equations and Inequalities
How to solve a word problem about finding the tax on a purchase.
word problem tax -
Graphing 2 Variable Inequalities
Precalculus Linear Equations and Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading -
More Transformations of Sine and Cosine
Precalculus Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(x-h)).
transformations sine period amplitude phase shift horizontal shift
