Transformation of Functions Notation

Front

What is the transformation of f(x) = x^2 to g(x) = -x^2?

Back

Reflection across the x-axis.

Front

Describe the transformation of g(x) = f(x - 1) - 5.

Back

f(x) has been translated to the right one and down five.

Front

What transformation does y = f(x) - 5 represent?

Back

The graph of y = f(x) was shifted down 5 units.

Front

What effect does the transformation f(x) ↦ 5f(x) have on the graph of f(x)?

Back

Stretches it vertically.

Front

What transformation occurs when f(x) = x^2 is changed to f(x + 30)?

Back

The graph is shifted left.

Front

What does a negative sign in front of a function indicate?

Back

It reflects the graph across the x-axis.

Front

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

Back

It shifts the graph vertically by k units.

Front

What does the transformation f(x) = f(x - h) do to the graph?

Back

It shifts the graph horizontally to the right by h units.

Front

What is the effect of the transformation f(x) = af(x) where a > 1?

Back

It vertically stretches the graph.

Front

What does the transformation f(x) = af(x) where 0 < a < 1 do?

Back

It vertically compresses the graph.