below is the graph of $y = (\\frac{1}{2})^x$. translate it to become the graph of $y = (\\frac{1}{2})^{x +…
below is the graph of $y = (\\frac{1}{2})^x$. translate it to become the graph of $y = (\\frac{1}{2})^{x + 4}+1$.
Answer
Explanation:
Step 1: Horizontal Translation
Replace (x) with (x+4), shifting left 4 units. [y = \left(\frac{1}{2}\right)^{x+4}]
Step 2: Vertical Translation
Add 1 to the function, shifting up 1 unit. [y = \left(\frac{1}{2}\right)^{x+4} + 1]
Answer:
Translate the graph 4 units left and 1 unit up.