Public learning track
Transformations of Parent Functions
9th Grade · Math · Open Global Math
7 lessons
Goal
Apply, identify, and formulate vertical and horizontal translations, stretches, compressions, and reflections across all function families.
Featured Diagrams
Vertical Translations: Analyzing f(x) + d
7 lessons
0 of 7 done
- 1Vertical Translations: Analyzing f(x) + dUp nextStart
- 2Horizontal Translations: Analyzing f(x - c)PremiumNot started yet
- 3Vertical Stretches, Compressions, and Reflections: Analyzing a*f(x)Not started yet
- 4Horizontal Stretches, Compressions, and Reflections: Analyzing f(b*x)Not started yet
- 5Combining Multiple Function TransformationsNot started yet
- 6Determining Transformation Equations from Transformed GraphsNot started yet
- 7Deducing Transformation Equations from Graphs and DataNot started yet
Curriculum Framework
9th Grade · Math · Open Global Math
1
11 lessons
Functions, Domain, Range, and Piecewise Representations
Evaluate functions, determine domain and range across multiple notations, and construct and analyze piecewise-defined functions.
2
17 lessons
Linear Functions, Forms, Slopes, and Direct Variation
Analyze, graph, convert, and model with linear functions in all forms, including slope relationships and direct variation.
3
9 lessons
Quadratic Functions, Forms, and Key Attributes
Analyze, convert, graph, and model quadratic functions across standard, vertex, and factored forms.
4
11 lessons
Exponential and Logarithmic Functions, Graphs, and Equations
Model growth and decay, graph exponential and logarithmic functions across bases 2, 10, and e, and solve equations.
5
8 lessons
Parent Function Families and Inverse Variation
Graph and analyze parent functions (absolute value, square root, cube root, reciprocal, cubic, sine/cosine) and model inverse variation.
6
7 lessons
Transformations of Parent Functions
Apply, identify, and formulate vertical and horizontal translations, stretches, compressions, and reflections across all function families.
7
7 lessons
Inverse Functions, Composition, and Invertibility
Determine inverse functions algebraically, verify inverses via composition and graphical symmetry, and restrict domains for one-to-one invertibility.
8
9 lessons
Arithmetic and Geometric Sequences and Series
Represent arithmetic and geometric sequences recursively and explicitly, link to linear/exponential growth, and derive and evaluate geometric series.
9
8 lessons
Coordinate Intersections, Graphical Solutions, and Equivalence
Explain graphs as solution sets, find intersection coordinates of y = f(x) and y = g(x) to solve f(x) = g(x), and compare growth models.