horizontal compression 20 videos
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Graphing a Horizontal Parabola
Algebra 2 Quadratic Equations and Inequalities
How to graph a horizontal parabola in vertex form.
parabola sideways horizontal -
Horizontal and Vertical Lines
Pre-Algebra Graphing in Two Dimensions
Equations and slopes of horizontal and vertical lines
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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 -
Vertical and Horizontal Shifts of Quadratic Graphs
Algebra Quadratic Equations and Functions
How to graph parabolas with horizontal and vertical shifts without making a table of values.
shift vertex quadratic equation -
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 -
Graphing Rational Functions, n=m
Precalculus Polynomial and Rational Functions
How to recognize when a rational function has a horizontal asymptote, and how to find its equation.
rational functions polynomials degree horizontal asymptote -
Bulk Modulus
Physics Solids, Liquids and Gases
How substances behave when their volume is compressed.
bulk modulus volume strain -
Limits and End Behavior
Calculus Limits and Continuity
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.
limits rational functions limit at infinity limit at negative infinity horizontal asymptotes end behavior -
Transforming the Graphs of Sine and Cosine
Trigonometry 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 -
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 -
Angle Inclination of a Line
Trigonometry Advanced Trigonometry
How to find the angle of inclination of a line.
angle inclination horizontal lines tangent slope -
Graphing Rational Functions, n>m
Precalculus Polynomial and Rational Functions
How to find the oblique asymptote of a rational function, if it has one.
rational functions polynomials degree horizontal asymptote -
Angle Inclination of a Line
Precalculus Advanced Trigonometry
How to find the angle of inclination of a line.
angle inclination horizontal lines tangent slope -
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 -
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 -
More Transformations of Sine and Cosine
Trigonometry 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 -
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 -
Optimization Using the First Derivative Test
Calculus Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.
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Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
position vector vector components horizontal component vertical component component form magnitude length -
Addition and Scalar Multiplication of Vectors
Precalculus Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector.
vector components horizontal component vertical component component form vector addition the zero vector scalar multiplication
