options: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
problem_activity: [IMG]
$${y=-3\mathrm{sin}(2x)+3}$$
On the graph, label the amplitude, period, midline, and phase shift, and explain how each feature connects to the equation.
Write a different equation that produces the same graph.


correct_option_index: 0