Graph Translations and K Values

The video tutorial explains how to determine the value of K needed to translate the graph of a function downward by one unit. It highlights that a negative K value indicates a downward translation and demonstrates how to apply this to the function f(x) = 3x + 4, resulting in f(x) - 1.

What is the K value needed to move the graph of f(x) = 3x + 4 down by 1 unit?

• 1

• -1

• 0

• 2

If a graph is translated downwards, what can be said about the K value?

• It is zero

• It is undefined

• It is positive

• It is negative

How does a positive K value affect the translation of a graph?

• Reflects it

• Keeps it unchanged

• Moves it up

• Moves it down

What is the resulting function when f(x) = 3x + 4 is translated down by 1?

• f(x) - 1

• f(x) + 2

• f(x) - 2

• f(x) + 1

Which of the following represents a downward translation of a function?

• f(x) + K where K < 0

• f(x) + K where K > 0

• f(x) - K where K > 0

• f(x) - K where K < 0

What does the formula f(x) - 1 represent in terms of graph translation?

• Translation down by 2

• Translation up by 1

• No translation

• Translation down by 1