24-25 Alg1 3-7 FLASHCARD - Linear Transformations

Front

What is a linear transformation?

Back

A linear transformation is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication.

Front

Back

This equation represents a vertical shift of the graph of f(x) by c units. If c is positive, the graph shifts up; if c is negative, it shifts down.

Front

Back

This equation represents a vertical stretch or shrink of the graph of f(x). If |a| > 1, the graph stretches; if 0 < |a| < 1, it shrinks.

Front

Back

This equation shifts the graph of f(x) to the right by c units if c is positive, and to the left if c is negative.

Front

What is the parent function of linear functions?

Back

Front

Back

The graph of g(x) is a vertical stretch of the graph of f(x) by a factor of 3.

Front

Back

This equation represents a vertical shrink by a factor of 1/2 and a vertical shift up by 11 units.

Front

What does a vertical stretch do to the graph of a function?

Back

A vertical stretch makes the graph steeper, increasing the distance between points on the graph.

Front

What does a vertical shrink do to the graph of a function?

Back

A vertical shrink makes the graph flatter, decreasing the distance between points on the graph.

Front

What is the effect of a horizontal shift on the graph of a function?

Back

A horizontal shift moves the graph left or right without changing its shape.