Function Transformations

Front

What is a function transformation?

Back

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

Tags

CCSS.HSF.BF.B.3

Front

What does h(x) = f(x) + 2 represent?

Back

This represents a vertical shift of the graph of f(x) upwards by 2 units.

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 does m(x) = f(x + 1) indicate?

Back

This indicates a horizontal shift of the graph of f(x) to the left by 1 unit.

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.

Front

If f(x) = x^2, what is g(x) = (x - 3)^2?

Back

g(x) is the graph of f(x) shifted to the right by 3 units.

Front

What does a vertical stretch of a function do?

Back

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

Front

What does a horizontal compression of a function do?

Back

A horizontal compression decreases the distance between points on the graph and the y-axis, making the graph narrower.

Front

What is the effect of a negative sign in front of a function, like -f(x)?

Back

This reflects the graph of the function across the x-axis.

Front

What does f(x) = f(-x) indicate about the function?

Back

This indicates that the function is even, meaning it is symmetric about the y-axis.

Tags

CCSS.HSF.BF.B.3