Parent functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function type that can be transformed to create more complex functions.

Front

Name the parent function of the equation y = x^2.

Back

Quadratic function.

Front

What is the domain of the square root function y = √x?

Back

The domain is [0, ∞).

Front

What is the range of the linear function y = mx + b?

Back

The range is all real numbers, (-∞, ∞).

Front

Identify the parent function: y = x^3.

Back

Cubic function.

Front

What is the general form of a quadratic function?

Back

y = ax^2 + bx + c, where a ≠ 0.

Front

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

Back

A parabola.

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point of the parabola, depending on the direction it opens.

Front

Identify the parent function: y = |x|.

Back

Absolute value function.

Front

What is the domain of the cube root function y = ∛x?

Back

The domain is all real numbers, (-∞, ∞).