Function and Parent Functions - Transformations

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. Examples include linear, quadratic, and cubic functions.

Front

What transformation occurs when f(x) is replaced with 2⋅f(x)?

Back

Vertical Stretch by a factor of 2.

Front

What transformation occurs when f(x) is replaced with f(x) + 5?

Back

Vertical translation up by 5 units.

Front

What transformation occurs when f(x) is replaced with f(x - 3)?

Back

Horizontal translation to the right by 3 units.

Front

What is the range of the function f(x) = x^2?

Back

Front

What is the domain of the function f(x) = x^2?

Back

Front

What does a vertical compression by a factor of 1/2 do to a function?

Back

It reduces the height of the graph by half, making it flatter.

Front

What is the effect of a reflection across the x-axis on a function?

Back

It flips the graph of the function over the x-axis.

Front

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

Back

Left 2 units and down 3 units.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x^2.