Identify Transformations

Front

What is a transformation in mathematics?

Back

A transformation is a function that maps a set of points to another set of points, altering their position, size, or orientation.

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when the y-values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

How do you shift a graph to the right?

Back

To shift a graph to the right by 'h' units, replace 'x' with '(x - h)' in the function.

Front

What is the effect of a horizontal compression?

Back

A horizontal compression occurs when the x-values of a function are multiplied by a factor greater than 1, making the graph narrower.

Front

What does it mean to translate a graph?

Back

Translating a graph means shifting it horizontally and/or vertically without changing its shape.

Front

What is the equation for a reflection over the x-axis?

Back

The equation for a reflection over the x-axis is y = -f(x), where f(x) is the original function.

Front

What is the state flower of Minnesota?

Back

The state flower of Minnesota is the pink lady slipper.

Front

What does it mean to stretch a graph vertically by a factor of 3?

Back

Stretching a graph vertically by a factor of 3 means multiplying the y-values of the function by 3, resulting in a taller graph.

Front

How do you represent a shift of 2 units to the left in a function?

Back

To represent a shift of 2 units to the left, replace 'x' with '(x + 2)' in the function.