Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, representing the basic shape of the graph.

Front

What is the parent function of a linear function?

Back

f(x) = x

Front

What is the parent function of a quadratic function?

Back

f(x) = x²

Front

What is the parent function of an absolute value function?

Back

f(x) = |x|

Front

What is the parent function of a square root function?

Back

f(x) = √x

Front

What is the parent function of a cubic function?

Back

f(x) = x³

Front

What is the parent function of an exponential function?

Back

f(x) = a*b^x, where a is a constant and b is the base.

Front

What is the general shape of the graph of a quadratic function?

Back

A parabola that opens upwards or downwards.

Front

How does the graph of an absolute value function behave?

Back

It forms a 'V' shape, with a vertex at the origin.

Front

What is the domain of the square root function f(x) = √x?

Back

The domain is x ≥ 0.