Graph Shifts and Transformations

The video tutorial explains how the graph of a function f(x) = 5 * 2^x changes when modified to f(x) + 5. It discusses the effects of adding a constant to the function, resulting in vertical shifts. The tutorial also covers how changes inside the function's parentheses affect horizontal shifts. The red line represents f(x) + 5, indicating an upward shift. The tutorial concludes with a summary of how positive and negative constants affect graph shifts.

What is the initial function being discussed in the video?

• f(x) = 2^x + 5

• f(x) = 2 * 5^x

• f(x) = 5 * 2^x

• f(x) = 5 + 2^x

How does the graph shift when moving from the black line to the yellow line?

• Shift right by 5

• Shift left by 5

• Shift up by 5

• Shift down by 5

What happens to the graph when moving from the black line to the green line?

• Shift left by 5

• Shift right by 5

• Shift up by 5

• Shift down by 5

Which direction does the graph shift when moving from the black line to the blue line?

• Shift up by 5

• Shift right by 5

• Shift down by 5

• Shift left by 5

What is the effect of adding +5 to the function f(x)?

• Shift up by 5

• Shift down by 5

• Shift right by 5

• Shift left by 5

If the function was f(x) - 5, what would be the direction of the shift?

• Shift left

• Shift down

• Shift right

• Shift up

What does a positive K in f(x) + K indicate?

• Shift left

• Shift up

• Shift right

• Shift down

What does a negative K in f(x) + K indicate?

• Shift left

• Shift up

• Shift right

• Shift down