[color=#000000]Interact with the applet below for a few minutes. Then answer the questions that follow. [/color]

[color=#000000][b]Questions: [/b][br][br]1) Consider the function f(x) = sin(x). [br] What are the values of [i]a, b, c, [/i]and [i]d [/i]for this parent sine function? What is its [/color][color=#0c343d]period[/color][color=#000000]? [/color][color=#0000ff]Amplitude[/color][color=#000000]?[br] [br]2) What do the parameters [i]a, b, c, [/i]and [i]d[/i] do to the graph of the function [i]f[/i](x)[i] = [/i]sin(x) under the[br] transformation y = a*sin(bx - c) + d? Explain. [br][br]3) Consider the function g(x) = cos(x). [br] What are the values of [i]a, b, c, [/i]and [i]d [/i]for this parent cosine function? What is its [/color][color=#274e13]period[/color][color=#000000]? [/color][color=#0000ff]Amplitude[/color][color=#000000]? [br] [br]4) What do the parameters [i]a, b, c, [/i]and [i]d[/i] do to the graph of the function [i]f[/i](x)[i] = [/i]cos(x) under the[br] transformation y = a*cos(bx - c) + d? Explain. [br][br]5) Try some examples on [url=https://tube.geogebra.org/m/BJCaZ5tm]this worksheet[/url]. [br][br][/color]