Transformation of functions

Front

What is a transformation of a function?

Back

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

Front

What does a vertical shift of a function do?

Back

A vertical shift moves the graph of the function up or down without changing its shape.

Front

What is the effect of a horizontal shift on a function?

Back

A horizontal shift moves the graph of the function left or right.

Front

What is a reflection in the context of function transformations?

Back

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

Front

How does a vertical stretch affect a function?

Back

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

Front

What is a vertical compression?

Back

A vertical compression decreases the distance between points on the graph and the x-axis, making the graph shorter.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on its orientation.

Front

How do you find the vertex of the function f(x) = a(x - h)² + k?

Back

The vertex is located at the point (h, k).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.