Parent Functions and Key Anchor Points

Vocabulary flashcards focusing on parent function equations, key anchor points, graph shapes, and family classifications.

Anchor Points

Points with integer coordinates on either side of the vertex or pivot.

Key Points Rule

A graphing rule to find 5 points using negative, zero, and positive $x$-values when possible (3 points is acceptable for square root functions).

Linear Parent Function

A parent function given by the equation $y = x$, where $y$ is equal to $x$, resulting in an increasing graph.

Absolute Value Parent Function

A parent function with equation $y = |x|$, featuring a V-Shape graph that decreases then increases.

Quadratic Parent Function

A parent function with equation $y = x^2$, featuring a U Shape graph that decreases fast and then increases.

Square Root Parent Function

A parent function with equation $y = \forall{x}$ or $y = \text{sqrt}(x)$ written as $y = \text{√}x$, forming an increasing curve where 3 points is acceptable.

Cubic Parent Function

A parent function represented by the equation $y = x^3$.

Cube Root Parent Function

A parent function represented by the equation $y = \text{∛}x$.

Objective A Function Families

The core set of parent function graph families including quadratic, absolute value, square root, cube root, rational, exponential, and logarithmic functions.