24-25 Alg1 3-7 FLASHCARD - Linear Transformations

A vertical shrink occurs when the output values of a function are multiplied by a factor less than 1, causing the graph to become 'squished' towards the x-axis.

This equation represents a vertical shrink by a factor of 1/2 and a vertical shift upwards by 11 units.

This equation represents a vertical stretch by a factor of 3, making the graph of $$f(x)$$ taller.

Shifting a graph to the right by 4 units is represented by the transformation $$g(x) = f(x - 4)$$ .

This equation compresses the graph horizontally by a factor of 3 and shifts it up by 7 units.

A horizontal stretch occurs when the input values of a function are multiplied by a factor greater than 1, causing the graph to become 'stretched' away from the y-axis.

This equation indicates a vertical shrink by a factor of 1/3 and a reflection over the x-axis.

This transformation shifts the graph of $$f(x)$$ upwards by 5 units.

The parent function for linear transformations is $$f(x) = x$$ .

This transformation shifts the graph of $$f(x)$$ to the left by 4 units.