Transformations of Functions/PW Functions/D & R

Front

What is a transformation of a function?

Back

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

Front

Define vertical compression of a function.

Back

Vertical compression occurs when the output values of a function are multiplied by a factor less than 1, making the graph flatter.

Front

What is a vertical stretch of a function?

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 left affect its equation?

Back

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

Front

What is the effect of shifting a function down?

Back

Shifting a function down by 'k' units involves subtracting 'k' from the function's output.

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

How do you find the domain of a radical function?

Back

To find the domain of a radical function, set the expression inside the radical greater than or equal to zero and solve for x.

Front

What does it mean for a function to be reflected over the x-axis?

Back

A function is reflected over the x-axis when all output values are multiplied by -1, resulting in a vertical flip of the graph.

Front

What is a radical function?

Back

Front

How do you express a function that is vertically stretched by a factor of 3?

Back