Transformations of Functions (alg 2)

Front

What is a transformation of a function?

Back

A transformation of a function is an operation that alters the graph of the function in some way, such as shifting, reflecting, stretching, or compressing.

Front

What does it mean to translate a function?

Back

Translating a function means shifting its graph horizontally or vertically without changing its shape.

Front

What is the effect of a positive constant added to a function?

Back

Adding a positive constant to a function translates the graph upward.

Front

What is the effect of a negative constant added to a function?

Back

Adding a negative constant to a function translates the graph downward.

Front

How does the equation y = f(x - h) affect the graph of f(x)?

Back

The equation y = f(x - h) translates the graph of f(x) to the right by h units.

Front

How does the equation y = f(x + h) affect the graph of f(x)?

Back

The equation y = f(x + h) translates the graph of f(x) to the left by h units.

Front

What is the effect of a negative coefficient in front of a function?

Back

A negative coefficient reflects the graph of the function across the x-axis.

Front

What does the equation y = af(x) do when |a| > 1?

Back

When |a| > 1, the graph of f(x) is vertically stretched.

Front

What does the equation y = af(x) do when 0 < |a| < 1?

Back

When 0 < |a| < 1, the graph of f(x) is vertically compressed.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x².