LT 12 Function Transformations

Front

What is a function transformation?

Back

A function transformation refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.

Front

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

Back

This transformation represents a horizontal shift to the right by c units.

Front

What does the transformation f(x) = f(x + c) represent?

Back

This transformation represents a horizontal shift to the left by c units.

Front

What does the transformation f(x) = f(x) + k represent?

Back

This transformation represents a vertical shift upward by k units.

Front

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

Back

This transformation represents a vertical shift downward by k units.

Front

What does the transformation f(x) = af(x) represent when |a| > 1?

Back

This transformation represents a vertical stretch of the graph by a factor of a.

Front

What does the transformation f(x) = af(x) represent when 0 < |a| < 1?

Back

This transformation represents a vertical compression of the graph by a factor of a.

Front

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

Back

This transformation represents a reflection of the graph across the y-axis.

Front

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

Back

This transformation represents a reflection of the graph across the x-axis.

Front

Given f(x) = (x - 3)^2 + 5, what transformations occurred?

Back

The graph is shifted right 3 units and up 5 units.