3.6 Day 1 - Translations and Reflections of Linear Functions

Front

What is a vertical translation in the context of graph transformations?

Back

A vertical translation moves the graph up or down without changing its shape. If a function is transformed by adding or subtracting a constant, the graph shifts vertically.

Front

What is a horizontal translation in the context of graph transformations?

Back

A horizontal translation moves the graph left or right. If a function is transformed by adding or subtracting a constant inside the function's argument, the graph shifts horizontally.

Front

Back

Vertical Translation down 3.

Front

Back

Horizontal Translation left 5.

Front

Back

Vertical Translation down 2.

Front

Back

Horizontal Translation right 7.

Front

Back

Horizontal Translation right 3.

Front

What happens to the graph of a function when you add a positive constant to the function?

Back

The graph shifts vertically upwards by that constant.

Front

What happens to the graph of a function when you subtract a positive constant from the function?

Back

The graph shifts vertically downwards by that constant.

Front

What happens to the graph of a function when you add a positive constant inside the function's argument?

Back

The graph shifts horizontally left by that constant.