Parent Functions

Front

What is a parent function?

Back

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

Front

What is the parent function of a quadratic function?

Back

f(x) = x²

Front

How do you shift a function to the right?

Back

To shift a function f(x) to the right by 'h' units, replace x with (x - h) in the function.

Front

What is the transformation for g(x) = (x - 2)²?

Back

This represents a shift of the parent function f(x) = x² to the right by 2 units.

Front

What is the parent function of a cubic function?

Back

f(x) = x³

Front

How do you reflect a function across the x-axis?

Back

To reflect a function f(x) across the x-axis, multiply the function by -1, resulting in -f(x).

Front

What is the transformation for g(x) = -(x + 5)²?

Back

This represents a shift of the parent function f(x) = x² to the left by 5 units and a reflection across the x-axis.

Front

What is the range of the function f(x) = x²?

Back

The range is y ≥ 0.

Front

What is the parent function of an absolute value function?

Back

f(x) = |x|

Front

How do you shift a function down?

Back

To shift a function f(x) down by 'k' units, replace f(x) with f(x) - k.