Parent Transformations

Front

What is a parent transformation in mathematics?

Back

A parent transformation is the simplest form of a function, which can be transformed by shifting, stretching, or reflecting to create new functions.

Front

What does it mean to shift a function vertically?

Back

Shifting a function vertically means moving it up or down on the graph without changing its shape.

Front

What is a horizontal shift in a function?

Back

A horizontal shift moves the function left or right on the graph.

Front

What is a reflection in the context of parent transformations?

Back

A reflection flips the graph of a function over a specific axis, such as the x-axis or y-axis.

Front

What does it mean to stretch a function?

Back

Stretching a function means increasing or decreasing its steepness, making it taller or wider.

Front

What is the effect of a vertical stretch on a function?

Back

A vertical stretch makes the graph of the function taller, increasing the distance between points on the graph.

Front

What is a horizontal compression?

Back

A horizontal compression makes the graph of the function narrower, bringing points closer together.

Front

How does a negative sign affect a function's transformation?

Back

A negative sign in front of a function reflects it over the x-axis.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x², which forms a parabola.

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x, which forms a straight line.