Parent Functions - Matching to Graphs

Front

What is a Parent Function?

Back

A parent function is the simplest form of a function in a family of functions. It serves as a reference point for transformations and variations.

Front

What is the graph of a Linear Function?

Back

The graph of a linear function is a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the graph of a Quadratic Function?

Back

The graph of a quadratic function is a parabola, represented by the equation y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the graph of an Exponential Function?

Back

The graph of an exponential function shows rapid growth or decay, represented by the equation y = a * b^x, where a is a constant and b is the base.

Front

What is the graph of a Square Root Function?

Back

The graph of a square root function is half of a sideways parabola, represented by the equation y = √x.

Front

What is the graph of a Cube Root Function?

Back

The graph of a cube root function is an S-shaped curve, represented by the equation y = ∛x.

Front

What is the graph of an Absolute Value Function?

Back

The graph of an absolute value function is a V-shaped graph, represented by the equation y = |x|.

Front

What is the graph of a Cubic Function?

Back

The graph of a cubic function is an S-shaped curve that can have one or two bends, represented by the equation y = ax^3 + bx^2 + cx + d.

Front

How do transformations affect Parent Functions?

Back

Transformations such as translations, reflections, stretches, and compressions modify the graph of the parent function while maintaining its basic shape.

Front

What is a transformation in the context of functions?

Back

A transformation is an operation that moves or changes a function's graph, including shifts, stretches, compressions, and reflections.