3.8 Homework Day 2 Graphing Absolution Value Functions

Last updated almost 2 years ago

4 questions

Given{ f(x) = |x + 3|}, describe the transformations below. Ex. direction: vertical shift up magnitude: 5

{g(x) = f(x) - 4}
Direction: _______    Magnitude: _______ 

{h(x) = f(x - 4)}
Direction: _______    Magnitude: _______ 

Given{ f(x) = -|x|}, describe the transformations below. Ex. description: horizontal stretch by a factor of: {\frac13}

{g(x) = 2f(x)}
Description: _______    by a factor of: _______ 

{h(x) = f(2x)}
Description: _______    by a factor of: _______ 

Given{ f(x) = 2|x|}, describe the transformations below. Ex. description: horizontal stretch by a factor of: {\frac13}

{g(x) = -f(x)}
Description: _______    over the _______{-axis}

{h(x) = f(-x)}
Description: _______    over the _______{-axis}

Given{ f(x) = 3|x|-4}, describe the transformations below. Ex. description: horizontal stretch by a factor of: {\frac13}

{g(x) = \frac15 f(x)}
Description: _______    by a factor of: _______ 

{h(x) = f(\frac15x)}
Description: _______    by a factor of: _______ 