Question

move the slider (k) so that the graph of (y = 2^x) gets shifted up 2 units. then type the new function, (f(x)) in the answer box

Explanation:

⚡ Using what you learned: Transformations of Exponential Functions

Step 1: Identify the base function and transformation

The base function is:

$$ y = 2^x $$

To shift a graph vertically upward by \( c \) units, we add \( c \) to the entire function:

$$ f(x) = y + c $$

Step 2: Apply the vertical shift

We need to shift the graph up by \( 2 \) units. Therefore, we set \( c = 2 \):

$$ f(x) = 2^x + 2 $$

Answer:

$$ f(x) = 2^x + 2 $$