converting derivative graphs to functions 269 videos

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 
Calculating Coordinates in the Unit Circle
Geometry Pythagorean Theorem
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
graphing a rational expression 1/x asymptotes 
Calculating Coordinates in the Unit Circle
Trigonometry Pythagorean Theorem
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
graphing a rational expression 1/x asymptotes 
Using the Conjugate Zeros Theorem
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function when one imaginary zero is known.
polynomial functions quadratic functions zeros multiplicity the conjugate zeros theorem the conjugate roots theorem conjugates imaginary numbers imaginary zeros 
The Method of Substitution
Calculus Antiderivatives and Differential Equations
How to evaluate an indefinite integral using the method of substitution.
antidifferentiation method of substitution change of variables derivatives differential 
Simple Substitutions
Calculus Antiderivatives and Differential Equations
How to use the method of substitution to avoid common integration mistakes.
antidifferentiation method of substitution change of variables derivatives differential 
Position, Velocity and Acceleration
Calculus Antiderivatives and Differential Equations
How to solve position, velocity and acceleration problems using differentiation equations.
differential equations derivatives position velocity acceleration 
Vocabulary of Quadratic Polynomials
Algebra Quadratic Equations and Functions
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and xintercepts or roots of a quadratic function.
roots x intercepts solutions excluded values zeros function 
Vocabulary of Quadratic Polynomials
Algebra 2 Quadratic Equations and Inequalities
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and xintercepts or roots of a quadratic function.
roots x intercepts solutions excluded values zeros function 
Optimization Problems: Applications to Economics
Calculus Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
cost revenue average cost optimization methods closed interval method first derivative test second derivative test 
Area of Regular Polygons
Geometry Area
How to derive the formula to calculate the area of a regular polygon.
area apothem side hexagon isosceles triangle perimeter equilateral equiangular 
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference area 
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area 
Equation of a Circle
Geometry Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
distance formula radius center circle 
The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication 
The Distance Formula in Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to derive the distance formula for polar coordinates.
polar coordinates the law of cosines triangles 
The Circle
Algebra 2 Conic Sections
How to use the distance formula to derive the equation for a circle.
circle center radius distance formula equation for a circle 
Equation of a Circle
Trigonometry Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
distance formula radius center circle 
The Circle
Precalculus Conic Sections
How to use the distance formula to derive the equation for a circle.
circle center radius distance formula equation for a circle 
The Circle
Precalculus Equations of Lines, Parabolas and Circles
How to use the distance formula to derive the equation for a circle.
circle center radius distance formula equation for a circle