Transformations of Functions: Vertical Shifts

The video tutorial explains the effect of adding 5 to the function F(x), which results in shifting the graph of F(x) upwards by 5 units. The instructor demonstrates this by taking each point on the graph and moving it up by 5 units, emphasizing that the shift is vertical and does not affect the horizontal position of the graph. The tutorial provides a clear visual representation of how the graph changes, ensuring that learners understand the concept of vertical shifts in functions.

What is the effect of adding a positive constant to a function F(x)?

• It shifts the graph upwards.

• It shifts the graph to the right.

• It shifts the graph to the left.

• It shifts the graph downwards.

How does the graph of F(x) + 5 differ from the graph of F(x)?

• The graph is shifted right by 5 units.

• The graph is shifted left by 5 units.

• The graph is shifted up by 5 units.

• The graph is shifted down by 5 units.

What happens to each point on the graph of F(x) when transformed to F(x) + 5?

• Each point is moved 5 units to the left.

• Each point is moved 5 units to the right.

• Each point is moved 5 units up.

• Each point is moved 5 units down.

Does the transformation F(x) + 5 affect the horizontal position of the graph?

• No, it only affects the vertical position.

• Yes, it moves the graph to the right.

• Yes, it moves the graph to the left.

• No, it does not affect the graph at all.

What is the primary change observed in the graph of F(x) when it is transformed to F(x) + 5?

• The graph is rotated.

• The graph is shifted upwards.

• The graph is compressed horizontally.

• The graph is stretched vertically.