Transformations and Domains 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 the parent function, including shifts, stretches, compressions, and reflections.

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is a vertical stretch in the context of function transformations?

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

How does shifting a function to the right affect its equation?

Back

Shifting a function to the right by 'h' units involves replacing 'x' with 'x - h' in the function's equation.

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

Back

The domain is all real numbers except x = 3, since the function is undefined at that point.

Front

What does it mean for a function to have a domain of 'All Reals'?

Back

A domain of 'All Reals' means that the function is defined for every real number without any restrictions.

Front

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

Back

A negative sign in front of an absolute value function reflects the graph over the x-axis.

Front

What is the parent function of an absolute value function?

Back

Front

How do you identify the vertex of a transformed absolute value function?

Back