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Find the Relationship Between the Graphs of F and G f(x)=sin(9x)g(x)=2+sin(9x)\begin{array} { l } f ( x ) = \sin ( 9 x ) \\g ( x ) = 2 + \sin ( 9 x )\end{array}

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Find the relationship between the graphs of f and g. Consider amplitude, period, and shifts.
f(x)=sin(9x)g(x)=2+sin(9x)\begin{array} { l } f ( x ) = \sin ( 9 x ) \\g ( x ) = 2 + \sin ( 9 x )\end{array}

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Definitions:

Simplify

Reducing a mathematical expression or equation to its most basic form without changing its value.

Special Product Pattern

Formulas that simplify the multiplication of algebraic expressions.

Multiply

The arithmetic operation of scaling one number by another, equivalent to adding a number to itself multiple times.

Simplify

The process of reducing a mathematical expression or equation to its simplest form.

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