Add and subtract whole numbers: word problems

What you'll learn

• Identify and describe the transformations (vertical/horizontal shifts, stretches/compressions, and reflections) of a given function f(x) based on its equation in the form a*f(b(x-h))+k, accurately stating the values of a, b, h, and k, and their corresponding effects on the graph.
• Apply transformations to a given function f(x) represented graphically or algebraically, and accurately sketch the resulting transformed function, demonstrating an understanding of how each parameter (a, b, h, and k) affects the key features (intercepts, extrema, asymptotes) of the original graph.
• Write the equation of a transformed function g(x) in the form a*f(b(x-h))+k, given a verbal description or a graph comparing g(x) to its parent function f(x), justifying the choice of parameters (a, b, h, and k) based on the observed transformations.
• Explain the effect of different transformations on the domain and range of a function, using interval notation to accurately represent the transformed domain and range after applying a series of transformations.