Transformations Review (Q2, Q4)

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What does a leftward transformation of a function indicate?

Back

A leftward transformation indicates that the graph of the function shifts to the left by a certain number of units.

Front

What does a rightward transformation of a function indicate?

Back

A rightward transformation indicates that the graph of the function shifts to the right by a certain number of units.

Front

What does an upward transformation of a function indicate?

Back

An upward transformation indicates that the graph of the function shifts up by a certain number of units.

Front

What does a downward transformation of a function indicate?

Back

A downward transformation indicates that the graph of the function shifts down by a certain number of units.

Front

What is a reflection in the context of function transformations?

Back

A reflection is a transformation that flips a graph over a specified axis, such as the x-axis or y-axis.

Front

How does a vertical stretch affect a function's graph?

Back

A vertical stretch increases the distance between points on the graph from the x-axis, making the graph taller.

Front

How does a horizontal compression affect a function's graph?

Back

A horizontal compression decreases the distance between points on the graph from the y-axis, making the graph narrower.

Front

What is the effect of a negative sign in front of a function?

Back

A negative sign in front of a function indicates a reflection over the x-axis.

Front

What is the effect of adding a constant to a function?

Back

Adding a constant to a function shifts the graph vertically; if positive, it shifts up, and if negative, it shifts down.