Answer:
To determine the equation for the new graph after a horizontal compression by a factor of 1/2 is applied to y = (√16 - x^2), we can follow these steps:
1. Start with the original equation: y = (√16 - x^2).
2. Apply the horizontal compression by a factor of 1/2. This means that the x-values of the points on the graph will be multiplied by 1/2.
3. Multiply the x-values by 1/2 to get the equation for the new graph.
The new equation is y = (√16 - (1/2)x^2).
Therefore, the equation for the new graph, after a horizontal compression by a factor of 1/2, is y = (√16 - (1/2)x^2).
Step-by-step explanation: