Linear Transformations

Front

What is the linear parent function?

Back

The linear parent function is f(x) = x.

Front

What transformation occurs when g(x) = f(x + 6)?

Back

g(x) is shifted left 6 units.

Front

How can you represent the parent function shifted down two units?

Back

f(x) = x - 2.

Front

Is the function f(x) = 2x + 3 linear or non-linear?

Back

Linear.

Front

What does the transformation y = f(x - 4) represent?

Back

Shift right by 4 units.

Front

What transformation occurs when g(x) = f(x) - 6?

Back

g(x) is shifted down 6 units.

Front

What is the effect of adding a positive constant to the function f(x)?

Back

It shifts the graph upward.

Front

What is the effect of subtracting a positive constant from the function f(x)?

Back

It shifts the graph downward.

Front

What does the transformation g(x) = f(x - c) represent for c > 0?

Back

Shift right by c units.

Front

What does the transformation g(x) = f(x + c) represent for c > 0?

Back

Shift left by c units.