what happens to the graph of f(x)=2^x when multiplied by 4 to get 4(2^x)? * 1 point the graph stretches…

what happens to the graph of f(x)=2^x when multiplied by 4 to get 4(2^x)? * 1 point the graph stretches horizontally the graph stretches vertically the graph shifts right the graph shifts left

what happens to the graph of f(x)=2^x when multiplied by 4 to get 4(2^x)? * 1 point the graph stretches horizontally the graph stretches vertically the graph shifts right the graph shifts left

Answer

Explanation:

Step1: Recall function - transformation rule

For a function $y = f(x)$, if we have $y = a\cdot f(x)$ where $a>1$, it is a vertical - stretch.

Step2: Analyze the given transformation

We have $f(x)=2^x$ and the new function is $y = 4\cdot(2^x)$. Here, $a = 4>1$. When we multiply the function $f(x)$ by 4, for each $x$ - value, the $y$ - value of the new function is 4 times the $y$ - value of the original function. This is a vertical stretch.

Answer:

The graph stretches vertically