Graph Shifts and Transformations

The video tutorial explains how to translate linear functions by shifting them horizontally and vertically. It begins with an introduction to translating functions, followed by a detailed explanation of horizontal shifts, including an example of moving a function two units to the right. The tutorial then covers vertical shifts, demonstrating how to move a function three units up. The video concludes by comparing the effects of these shifts on the function's equation, emphasizing changes in the y-intercept while maintaining the slope.

What is the main focus of this video tutorial?

• Translating logarithmic functions

• Translating quadratic functions

• Translating linear functions

• Translating exponential functions

What does a horizontal shift involve?

• Moving a function up or down

• Changing the y-intercept of a function

• Changing the slope of a function

• Moving a function left or right

How do you perform a horizontal shift on a graph?

• Change the y-intercept

• Move points left or right

• Change the slope

• Move points up or down

What remains unchanged after a horizontal shift?

• The x-intercept

• The function's domain

• The slope

• The y-intercept

What happens to the y-intercept when a function is shifted horizontally to the right?

• It remains the same

• It decreases

• It becomes zero

• It increases

What is a vertical shift?

• Moving a function left or right

• Changing the slope of a function

• Changing the x-intercept of a function

• Moving a function up or down

How do you perform a vertical shift on a graph?

• Change the slope

• Move points up or down

• Move points left or right

• Change the x-intercept

What changes after a vertical shift?

• The function's domain

• The y-intercept

• The x-intercept

• The slope

What happens to the y-intercept when a function is shifted vertically upwards?

• It increases

• It decreases

• It becomes zero

• It remains the same