Transformations & Parent Functions

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

What effect does a coefficient greater than 1 have on a parent function?

Back

It causes a vertical stretch of the graph by that factor.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x^2.

Front

What transformation does the equation f(x) = (x - 3)^2 represent?

Back

A horizontal shift to the right by 3 units.

Front

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

Back

It indicates a reflection across the x-axis.

Front

What is the effect of adding a constant to a function?

Back

It results in a vertical shift of the graph.

Front

What is the parent function of an absolute value equation?

Back

The parent function of an absolute value equation is f(x) = |x|.

Front

How does the graph of f(x) = 2^x compare to its parent function?

Back

It is a vertical stretch of the exponential function.

Front

What does the notation g(x) = f(x - 2) represent?

Back

A horizontal shift of the function f(x) to the right by 2 units.

Front

What is the range of a quadratic function?

Back

The range is [k, ∞) if the parabola opens upwards, where k is the minimum value.