Front

What is a function transformation?

Back

A function transformation refers to the changes made to the graph of a function, including shifts, stretches, compressions, and reflections.

Front

What does it mean to shift a function vertically?

Back

Shifting a function vertically means moving the graph up or down without changing its shape. This is done by adding or subtracting a constant from the function's output.

Front

What does it mean to shift a function horizontally?

Back

Shifting a function horizontally means moving the graph left or right. This is achieved by adding or subtracting a constant from the input variable.

Front

What is a vertical stretch?

Back

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

Front

What is a vertical compression?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

What is a reflection in function transformations?

Back

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

Front

How does the equation y = -f(x) transform the graph of y = f(x)?

Back

The equation y = -f(x) reflects the graph of y = f(x) over the x-axis.

Front

What is the maximum value of a quadratic function?

Back

The maximum value of a quadratic function occurs at the vertex of the parabola when the parabola opens downwards.

Front

What is the minimum value of a quadratic function?

Back

The minimum value of a quadratic function occurs at the vertex of the parabola when the parabola opens upwards.

Front

What are asymptotes in relation to functions?

Back

Asymptotes are lines that the graph of a function approaches but never touches. They can be vertical, horizontal, or oblique.