quadratic equation 176 videos

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 
Selling Multiple Items
Algebra Word Problems Using Systems of Equations
How to set up a system of equations to represent word problems where someone is selling multiple items.
system of equations coefficient elimination 
Lines in 3D
Precalculus Vectors and Parametric Equations
How to find the vector and parametric equations of a line when given two points on the line.
the vector equation of a line position vectors direction vector parametric equations 
Motion Along a Line
Precalculus Vectors and Parametric Equations
How to write equations describing motion in a straight line given the velocity and the position when t=0.
velocity constant velocity position vector equation of a line parametric equations parametric equations of a line 
Solving Linear Systems Using Matrix Algebra
Precalculus Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it.
matrices square matrices matrix equation coefficient matrix inverse matrix identity matrix matrix multiplication 
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 
Basic Polynomial Graphs
Algebra 2 Polynomials
How to graph a first degree polynomial
linear equation 
Vectors and Planes
Precalculus Vectors and Parametric Equations
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
normal vector position vector perpendicular vectors planes the equation of a plane 
Converting from Polar Coordinates to Rectangular
Precalculus Polar Coordinates and Complex Numbers
How to convert a polar equation into rectangular form.
polar coordinates rectangular coordinates polar equations lines circles Pythagorean theorem sine cosine tangent 
Writing an Equation to Describe a Table
Algebra Graphs and Functions
How to write a function to describe a table of values.
function slope y intercept pattern 
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 
Finding Maximum and Minimum Values
Precalculus Polynomial and Rational Functions
How we define optimization problems, and what it means to solve them.
optimization problems quadratic functions parabola vertex 
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 
Parametrizing a Circle
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a circle centered at (0,0) with radius r, oriented counterclockwise.
the unit circle cosine sine parametrization parametric equations circle counter clockwise 
Cramer's Rule
Precalculus Systems of Linear Equations and Matrices
How to solve a system of two linear equations with two unknowns using Cramer's rule.
systems of linear equations Cramer's rule determinant coefficient matrix 
Coin Word Problems
Algebra Word Problems Using Systems of Equations
How to solve word problems about values and number of coins.
coins system of equations substitution 
Age Word Problems
Algebra Word Problems Using Systems of Equations
How to solve word problems about the ages of two people.
age system of equations substitution