Pre-calculus Contents B
Quadratic Equations and Quadratic Function
Quadratic equation
Solving quadratic equations by completing the square,
the quadratic formula
Solving quadratic equations by factoring,
Vieta's formula
Quadratic function or the second-degree polynomial
Vertex
(maximum/minimum) - coordinates of translation
Roots or zeros of the function, axis of symmetry and y-intercept
Transformations of the quadratic function's expression
Graphing a quadratic function
Transformations of the graph of the quadratic function
Quadratic inequalities
Solving quadratic inequalities
Graphic solution of quadratic inequalities
Binomial equations
Solving binomial equations
Equations reducible to quadratic, bi-quadratic equations
Solving equations reducible to quadratic
Absolute value equations, quadratic equations and functions
Solving quadratic equations with absolute value
Graphing
absolute value functions or equations, examples
Radical or irrational equations
Solving irrational or radical equations
Rectangular (Two-dimensional, Cartesian) Coordinate System
C
oordinate axes,
x
-axis and
y
-axis, origin, quadrants
Points in the Coordinate plane
Midpoint of a line segment
The distance formula
Dividing a line segment in a given ratio
The area of a triangle
The coordinates of the centroid of a triangle
Lines parallel to the axes, horizontal and vertical lines
Polar Coordinate System
Polar and Cartesian coordinates relations
Conversion from polar to rectangular coordinates
Conversion from rectangular to polar coordinates
Polar coordinates of a point
Equation of a line in polar form
Lines parallel to the axes, horizontal and vertical lines
Lines running through the origin or pole (radial lines)
Polar equation of a line
Equation of a circle in polar form
General equation of a circle in polar coordinates
Polar equation of a circle with a center on the polar axis running through the pole
Polar equation of a circle with a center at the pole
Pre-calculus Contents
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