Transformations of Functions Notes Review

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, from which more complex functions can be derived by transformations.

Front

What effect does the variable 'h' have on the graph of a function?

Back

The variable 'h' causes a horizontal shift of the graph.

Front

What does a vertical shrink of a function by a factor of ⅔ mean?

Back

It means the graph is compressed vertically, making it closer to the x-axis.

Front

What transformation is represented by the function f(x) = (x - 7)^2?

Back

This function represents a horizontal translation to the right by 7 units.

Front

What is the effect of a negative 'a' in the function y = a*f(x)?

Back

A negative 'a' reflects the graph across the x-axis.

Front

What does a horizontal translation left by 2 units look like in function notation?

Back

It can be represented as f(x + 2).

Front

What is the transformation for the function f(x) = -|x|?

Back

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

Front

How does a vertical stretch by a factor of 3 affect the graph of a function?

Back

It makes the graph taller, stretching it away from the x-axis.

Front

What does the term 'reflection across the y-axis' mean?

Back

It means that for every point (x, y) on the graph, there is a corresponding point (-x, y).

Front

What is the transformation for the function f(x) = (x + 2)^2 - 3?

Back

This function represents a horizontal translation left by 2 units and a vertical translation down by 3 units.