Parent Transformations

Front

What is a parent transformation in mathematics?

Back

A parent transformation is the simplest form of a function that can be transformed by shifting, stretching, or reflecting to create more complex 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 to make it wider or taller, which changes its shape but not its position.

Front

What is a compression in function transformations?

Back

Compression makes the graph of a function narrower or shorter, altering its shape.

Front

How do you identify the parent function of a quadratic equation?

Back

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

Front

What is the parent function for absolute value?

Back

The parent function for absolute value is f(x) = |x|, which forms a V shape on the graph.

Front

What is the effect of adding a constant to a function?

Back

Adding a constant to a function shifts the graph vertically by that constant's value.

Front

What happens when you subtract a constant from a function?

Back

Subtracting a constant from a function shifts the graph down by that constant's value.