Transformations and Parent Functions

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 is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, from which other functions can be derived by transformations.

Front

What does a vertical stretch do to a function?

Back

A vertical stretch multiplies the output values of a function by a factor greater than 1, making the graph taller.

Front

What does a vertical compression do to a function?

Back

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

Front

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

Back

A horizontal shift moves the graph of a function left or right along the x-axis.

Front

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

Back

A vertical shift moves the graph of a function up or down along the y-axis.

Front

What does the notation f(bx) represent?

Back

The notation f(bx) represents a horizontal compression if b > 1 or a horizontal stretch if 0 < b < 1.

Front

What is the general form of a quadratic function?

Back

Front

Back

The parameter 'a' represents the vertical stretch or compression and the direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you identify a square root function?

Back