Exploring Linear Transformations

The video tutorial focuses on graphing parent functions, specifically y = x, and explores how changes in the slope and y-intercept affect the graph. It explains the concept of parent functions, how to graph them, and how to shift the graph vertically by altering the y-intercept. Additionally, it covers how changing the slope can make the graph steeper or flatter, introducing terms like vertical stretch and compression.

What is the parent function of a linear equation?

• y = 2x + 1

• y = x

• y = 3x - 2

• y = -x + 4

What is the slope of the parent function y = x?

• 0

• 1

• -1

• 2

Where does the parent function y = x intersect the y-axis?

• (0, 1)

• (1, 0)

• (0, 0)

• (1, 1)

How does the graph of y = x + 4 compare to the parent function y = x?

• It shifts up 4 units.

• It shifts down 4 units.

• It becomes steeper.

• It becomes flatter.

What happens to the graph of y = x when the equation changes to y = x - 3?

• It shifts up 3 units.

• It shifts down 3 units.

• It becomes flatter.

• It becomes steeper.

If the slope of the parent function y = x is changed to 2, what happens to the graph?

• It shifts up 2 units.

• It shifts down 2 units.

• It becomes steeper.

• It becomes flatter.

What is the effect on the graph of y = x if the slope is changed to 1/2?

• It shifts down 1/2 unit.

• It becomes steeper.

• It shifts up 1/2 unit.

• It becomes flatter.

How does the graph of y = -3x compare to the parent function y = x?

• It shifts up 3 units.

• It shifts down 3 units.

• It becomes flatter and has a negative slope.

• It becomes steeper and has a negative slope.

What is the effect on the graph of y = x if the slope is changed to 5?

• It becomes much flatter.

• It shifts up 5 units.

• It becomes much steeper.

• It shifts down 5 units.

What happens to the graph of y = x if the equation changes to y = -2x?

• It becomes flatter and has a negative slope.

• It shifts down 2 units.

• It shifts up 2 units.

• It becomes steeper and has a negative slope.