Graph Translations and Transformations

The video tutorial explains how to translate the graph of a function vertically and horizontally by adjusting the value of K. It starts with translating the graph of f(x) = 2x up by 4 units by adding K to the function, where K equals 4. The tutorial then covers translating the graph down by 4 units by subtracting K, making K negative. Finally, it discusses horizontal translations, where adding K to the x-value moves the graph left, and subtracting K moves it right.

What is the effect of adding a constant K to the function f(x)?

• It stretches the graph vertically.

• It translates the graph vertically.

• It reflects the graph over the x-axis.

• It compresses the graph horizontally.

What is the effect of adding K to the function f(x) in terms of graph movement?

• The graph rotates.

• The graph moves horizontally.

• The graph reflects.

• The graph moves vertically.

If f(x) is translated up by 4 units, what is the new function?

• f(x) * 4

• f(x) / 4

• f(x) - 4

• f(x) + 4

How do you translate the graph of f(x) down by 4 units?

• Multiply f(x) by 4

• Subtract 4 from f(x)

• Add 4 to f(x)

• Divide f(x) by 4

What happens when you subtract K from f(x)?

• The graph moves left by K units.

• The graph moves down by K units.

• The graph moves up by K units.

• The graph moves right by K units.

Which of the following will translate the graph of f(x) up by K units?

• f(x + K)

• f(x) - K

• f(x - K)

• f(x) + K

What is the result of adding K to the x value in f(x)?

• The graph moves up by K units.

• The graph moves down by K units.

• The graph moves left by K units.

• The graph moves right by K units.

Which operation translates the graph of f(x) to the right by K units?

• Add K to the x value

• Subtract K from f(x)

• Subtract K from the x value

• Add K to f(x)

What is the effect of subtracting K from the x value in f(x)?

• The graph moves left by K units.

• The graph moves down by K units.

• The graph moves right by K units.

• The graph moves up by K units.

If you want to move the graph of f(x) to the left by K units, what should you do?

• Subtract K from f(x)

• Subtract K from the x value

• Add K to the x value

• Add K to f(x)