Identifying the Value of K in Translations

The video tutorial explains how to identify the constant k in transformations, focusing on vertical and horizontal translations. It covers the algebraic representation of transformations and demonstrates how to find k using examples. The tutorial emphasizes that k can be positive or negative and provides methods to determine k from graph forms and algebraic equations.

What does the constant k represent in the context of transformations?

• The y-intercept of the line

• The slope of the line

• A constant value that remains unchanged

• A variable that changes with each transformation

In a vertical translation, which coordinates remain unchanged?

• x-coordinates

• y-coordinates

• Neither x nor y-coordinates

• Both x and y-coordinates

How can k be identified when given a transformation in graph form?

• By measuring the length of the line

• By observing the color of the graph

• By listing ordered pairs and analyzing changes

• By looking at the slope of the line

In the example where g(x) = x - 4, what is the value of k?

• 2

• 0

• -4

• 4

What is the general rule for a horizontal translation in simplified form?

• f(x - k)

• f(x + k)

• f(x) - k

• f(x) + k

In the example where g(x) = 2(x + 2), what is the value of k?

• -2

• -4

• 4

• 2

How is the value of k determined in a horizontal translation?

• By factoring out the greatest common factor

• By adding the slope to the y-intercept

• By subtracting the y-intercept from the slope

• By multiplying the slope by the y-intercept