Note: I can't figure out how to make exponents in this environment so "y equals x squared" will be y=x^2
This chapter is involves "transformations of parent functions".
Parent functions are the basic functions: y=x^2 y=b^x y=abs(x) They are all based around the origin on the (x,y) coordinate plane.
Transformations at first will be moving the parent function right and left and/or up and down.
section 8.2
- Complete the investigation (this is a fun one) Set window to zoom; standard
- Read the paragraph on page 446
- Read and understand EXAMPLE A on page 447
- Read and understand EXAMPLE B on page 448. Transforming exponential functions are much harder than absolute value and quadratic because they do not have a vertex. There is a trick I'll show you but in the meantime try to figure it out. Pay attention to the asymptote (the line a function approaches but never reaches).
- Homework - problems 1, 3 (write the actual equation, not just write the coordinates for the vertex, graph to verify), 5, 7
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