Transformations of Linear Functions

Front

What is the effect of replacing f(x) with -f(x)?

Back

Reflection across the x-axis.

Front

How does the equation y = f(x - 4) transform the parent function?

Back

Shift right by 4.

Front

What transformation occurs in the equation y = 4f(x - 3)?

Back

Steeper and shift right by 3.

Front

What is the effect of adding 2 to the function f(x)?

Back

Vertical translation up by 2 units.

Front

What transformation is represented by the equation y = 2⋅f(x)?

Back

Vertical stretch.

Front

What is the parent function of linear transformations?

Back

f(x) = x.

Front

What does a horizontal shift to the right indicate in a function?

Back

The function is translated right by a certain number of units.

Front

What does a vertical stretch do to the graph of a function?

Back

It makes the graph steeper.

Front

How does the transformation f(x) + k affect the graph of f(x)?

Back

It translates the graph vertically by k units.

Front

What is the effect of a negative coefficient in front of f(x)?

Back

It reflects the graph across the x-axis.