Parent Functions

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

What transformation does g(x) = f(x) + 6 represent?

Back

The function f(x) has been translated up 6 units.

Front

What is the parent function of f(x) = x?

Back

The parent function is a linear function.

Front

What is the parent function of f(x) = x^2?

Back

The parent function is a quadratic function.

Front

What is the parent function of f(x) = |x|?

Back

The parent function is an absolute value function.

Front

What is the parent function of f(x) = a*b^x?

Back

The parent function is an exponential function.

Front

What type of function is f(x) = √(x)?

Back

It is a square root function.

Front

What type of function is f(x) = ∛(x)?

Back

It is a cube root function.

Front

How does the graph of f(x) = x^2 differ from f(x) = x?

Back

f(x) = x^2 is a parabola opening upwards, while f(x) = x is a straight line.

Front

What is the effect of a negative sign in front of a function, e.g., g(x) = -f(x)?

Back

It reflects the graph of f(x) across the x-axis.