Equations and Curves
Explore twisty curves and their equations, transporting between the world of numbers and the world of shapes.
Points on a Curve
Identifying Equations
Equations for the Same Curve
Bounded Curves
Identifying Curves
The Graph of a Function
Level Check
Hyperbolas
Vertical Shift of Hyperbolas
Horizontal Shift of Hyperbolas
Stretch
Transforming Hyperbola Graphs
Matching Targets
Equivalent Expressions
Level Check
Domain and Range of Hyperbolas
Symmetry
Horizontal Asymptotes
Vertical Asymptotes
Reciprocal Power Functions
Rational Functions
Vertical Asymptotes
Removable Discontinuities
Drawing Rational Functions
Identifying Rational Functions
Working with Exponents
Simplify Terms
Simplify Rational Expressions
Factor Rational Expressions
Add Rational Expressions
Zeros of Rational Functions
Inverse of Squaring
The Square Root of the Square
Graphing the Inverse
Vertically Shifting Roots
Horizontally Shifting Roots
Vertical Stretching
Positive Horizontal Stretching
Negative Horizontal Stretching
Multiple Transforms of Roots
Transforming Domain and Range
Identifying Squares and Roots
Inverse of Cubing
Graphing the Inverse
Even Roots
Odd Roots
Fractional Powers
Simplifying General Roots
Systems as Constraints
Zeros and Intercepts
Intersections with Lines
Counting Intersections
Intersections of Graphs
Implicit Equations
Rewriting Implicit Equations
Circles
Ellipses
Intersecting Circles
Unions of Curves
Inequalities at Points
Inequalities in Regions
Regions From Two Functions
Regions From Two Curves
Course description
Studying the relationship between an equation and its curve. Dive into hyperbolas, transforming their graphs and manipulating their equations. Find the asymptotes, domain, range, and lines of symmetry of hyperbolas.
Topics covered
- hyperbolas
- equations
- functions
- curves
- asymptotes
- graphs
- domain
- range
- symmetry