PC U3 L1-L8 Parent Functions and Transformations

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for creating more complex functions through transformations.

Front

What is a transformation in the context of functions?

Back

A transformation is an operation that alters the form of a function, including shifts, stretches, compressions, and reflections.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first.

Front

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

Back

A horizontal shift to the right occurs when the input of the function is decreased by a constant, resulting in the graph moving right along the x-axis.

Front

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

Back

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

Front

What is the absolute value function?

Back

The absolute value function is defined as f(x) = |x|, which outputs the non-negative value of x.

Front

What is the square root function?

Back

The square root function is defined as f(x) = √x, which outputs the non-negative square root of x.

Front

What is the cubic root function?

Back

The cubic root function is defined as f(x) = ∛x, which outputs the cube root of x, allowing for both positive and negative values.

Front

What does the notation g(x) = f(x - 7) represent?

Back

This notation represents a horizontal shift of the function f(x) to the right by 7 units.

Front

What is a vertical compression?

Back

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