Questions: The image contains a grid or coordinate plane with x and y axes drawn on it. There are two intersecting lines plotted, forming what appears to be the graph of a linear or simple polynomial function.

Solution Steps

The given function is $y = \frac{4}{x}$. The parent function for this is $y = \frac{1}{x}$.

The transformation involves multiplying the parent function by 4. This means the graph of $y = \frac{1}{x}$ will be vertically stretched by a factor of 4.

To graph $y = \frac{4}{x}$, take key points from the parent function $y = \frac{1}{x}$ and multiply the y-values by 4. For example:

• For $x = 1$, $y = \frac{1}{1} = 1$ becomes $y = 4$.
• For $x = -1$, $y = \frac{1}{-1} = -1$ becomes $y = -4$.
• For $x = 2$, $y = \frac{1}{2} = 0.5$ becomes $y = 2$.
• For $x = -2$, $y = \frac{1}{-2} = -0.5$ becomes $y = -2$.

Final Answer