Translations of Graphs

The video tutorial explains the concept of translations in geometry, focusing on how shapes move along the X and Y axes. It introduces functions as a 'number machine' and demonstrates how changes to the function or input values affect the graph's position. Vertical translations occur when values are added or subtracted from the function, shifting the graph up or down. Horizontal translations happen when changes are made to the input, moving the graph left or right. The tutorial concludes with a summary of these translation rules.

What is a translation in the context of graph transformations?

How does moving a graph to the right affect its points?

Explain the concept of a function as described in the text.

What is the relationship between the input values and the output values in a function?

Explain how adding a value to a function affects the graph.

What happens to the graph when you subtract a value from the function?

Describe the effect of adding a number to the input of a function.

How does the graph shift when you add a value to the X input?

How can real-life examples illustrate the concept of translations in graphs?

What does it mean for a graph to be translated up or down?