switch x and y 68 videos
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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 -
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 -
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 -
Intercepts of Linear Equations
Algebra Linear Equations and Their Graphs
How to work with x an y intercepts graphically or algebraically.
x intercept y intercept y=mx+b -
Graphing Lines using Intercepts
Algebra Linear Equations and Their Graphs
How to graph a line using the x and y intercepts.
x intercept y intercept standard form -
Finding an Inverse Graphically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to graph the inverse of a function using points.
finding an inverse graphically switch x and y flip over y=x -
(x,y) Coordinates and Plotting Points
Pre-Algebra Graphing in Two Dimensions
Vocabulary of origin, axes, quadrants, and carteesian coordinates
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Finding an Inverse Algebraically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to find the inverse of a function algebraically
finding an inverse one to one switch x and y -
Substitutions Involving e^x or ln(x)
Calculus Antiderivatives and Differential Equations
How to use the method of substitution when the antiderivatives involve e^x or ln[x].
substitution antidifferentiation exponential functions logarithmic functions power functions -
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 -
Intercepts and Asymptotes of Tangent Functions
Trigonometry 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 -
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 -
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 -
Absolute Value Inequality Graphs in Two Variables
Algebra Absolute Value
How to solve and graph absolute value inequalities with x and y.
inequality absolute value graphing inequalities with two variables -
Graphing Polynomial Functions with Repeated Factors
Precalculus Polynomial and Rational Functions
How we identify the behavior of a polynomial graph near an x-intercept.
polynomial functions leading term end behavior x intercepts -
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 -
Sex Chromosomes
Biology Cell Division and Reproduction
The description of sex chromosomes.
sex chromosomes X Y XX XY gender autosomes karyotype -
Vocabulary of Quadratic Polynomials
Algebra Quadratic Equations and Functions
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.
roots x intercepts solutions excluded values zeros function
