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 is the parent function of a square root 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 linear function?

Back

f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How does the graph of f(x) = |x| differ from f(x) = x²?

Back

The graph of f(x) = |x| forms a V shape, while f(x) = x² forms a U shape.

Front

What transformation is represented by g(x) = f(x - 3)?

Back

The graph of f(x) is translated 3 units to the right.

Front

What transformation is represented by g(x) = f(x) + 2?

Back

The graph of f(x) is translated 2 units upward.

Front

What transformation is represented by g(x) = f(x) - 4?

Back

The graph of f(x) is translated 4 units downward.

Front

What transformation is represented by g(x) = f(x + 1)?

Back

The graph of f(x) is translated 1 unit to the left.