Parent Functions and Transformations — Worksheet Extraction

Front

What is the parent function of a U-shaped parabola opening upward?

Back

Quadratic function.

Front

Describe the transformation represented by f(x+4)-2.

Back

Horizontal shift to the left 4 and vertical shift down 2.

Front

Describe the transformation represented by f(x-4)-2.

Back

Horizontal shift to the right 4 and vertical shift down 2.

Front

What is the parent function of f(x)=x^3?

Back

Cubic function.

Front

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

Back

Absolute value function.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What transformation occurs when a function is written as f(x) + k?

Back

Vertical shift by k units.

Front

What transformation occurs when a function is written as f(x - h)?

Back

Horizontal shift to the right by h units.

Front

What is the parent function of a linear equation?

Back

Linear function, represented as f(x) = mx + b.

Front

What is the parent function of a square root function?

Back

Square root function, represented as f(x) = √x.