How do we know when we have a vertical shift for a exponential function

The video tutorial explains the concept of horizontal and vertical shifts in functions. It emphasizes the opposite nature of horizontal shifts and introduces vertical shifts, explaining how adding or subtracting a constant outside the function affects its graph. Examples of quadratic and exponential functions are provided to illustrate vertical shifts up and down. The tutorial concludes with a summary of the key points about vertical shifts.

What is the key concept to remember when performing horizontal shifts?

• Always subtract a constant outside the function

• Move in the same direction as the shift

• Always add a constant inside the function

• Move in the opposite direction of the shift

In a vertical translation, what happens when you add a constant outside the function?

• The graph shifts to the left

• The graph remains unchanged

• The graph shifts upwards

• The graph shifts to the right

How does adding a constant outside a quadratic function affect its graph?

• It shifts the graph downwards

• It shifts the graph upwards

• It stretches the graph vertically

• It compresses the graph horizontally

What is the effect of subtracting a constant from an exponential function?

• The graph shifts upwards

• The graph shifts downwards

• The graph shifts to the left

• The graph shifts to the right

When subtracting a constant from a quadratic function, what is the result?

• The graph shifts downwards

• The graph shifts upwards

• The graph becomes narrower

• The graph becomes wider