Parent Functions Review HW

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions.

Front

Identify the parent function: f(x) = x^2.

Back

This is a quadratic parent function.

Front

Identify the parent function: f(x) = |x|.

Back

This is an absolute value parent function.

Front

Identify the parent function: f(x) = a⋅b^x.

Back

This is an exponential parent function.

Front

Identify the parent function: f(x) = ∛(x).

Back

This is a cube root parent function.

Front

What transformation is represented by f(x) = (x - 2)^2 + 5?

Back

This represents a transformation of right 2 and up 5.

Front

What type of function is represented by a straight line?

Back

This is a linear function.

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What is the graph of f(x) = |x| called?

Back

The graph is called a V-shape.

Front

What does the 'a' in f(x) = a⋅b^x represent?

Back

The 'a' represents the initial value or vertical stretch/compression of the exponential function.