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 quadratic function?

Back

The parent function of a quadratic function is y = x².

Front

Describe the transformation represented by g(x) = f(x) + 3.

Back

The transformation represents a vertical translation of the function f(x) upwards by 3 units.

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is y = x.

Front

What is the parent function of an absolute value function?

Back

The parent function of an absolute value function is y = |x|.

Front

What is the parent function of an exponential function?

Back

The parent function of an exponential function is y = a^x, where a > 0.

Front

How does the graph of y = x² differ from y = (x - 2)²?

Back

The graph of y = (x - 2)² is a horizontal translation of the graph of y = x² to the right by 2 units.

Front

What type of function is represented by a straight line?

Back

A straight line represents a linear function.

Front

What transformation occurs when a function is multiplied by a negative number?

Back

Multiplying a function by a negative number reflects the graph across the x-axis.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is y = ax² + bx + c, where a, b, and c are constants.