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)}
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)}
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)}
Given{ f(x) = 3|x|-4}, describe the transformations below. Ex. description: horizontal stretch by a factor of: {\frac13}
{g(x) = \frac15 f(x)}
{h(x) = f(\frac15x)}