Translating Lines on Graphs

The video tutorial explains the concept of translating lines on a graph. It begins by introducing two lines, one red and one blue, where the blue line is a translated version of the red line. The tutorial then explains how to determine the translation value, K, by counting the units the line has moved down. It concludes by stating that the translation value is negative because the line is moved downwards, specifically by four units, making K equal to -4.

What is the equation of the red line plotted on the graph?

• f(x) = 2x + 3

• f(x) = 2x - 3

• f(x) = 3x + 2

• f(x) = x + 2

How is the blue line related to the red line on the graph?

• It is a translation of the red line downwards.

• It is a reflection of the red line.

• It is a rotation of the red line.

• It is a translation of the red line upwards.

What operation is used to translate a line downwards on a graph?

• Replace f(x) with f(x) / K

• Replace f(x) with f(x) * K

• Replace f(x) with f(x) - K

• Replace f(x) with f(x) + K

How do you determine the value of K when translating a line downwards?

• By counting the units the line is moved upwards.

• By counting the units the line is moved downwards.

• By calculating the slope of the line.

• By measuring the angle of rotation.

What is the value of K if the line is translated down by 4 units?

• K = 0

• K = 2

• K = -4

• K = 4