Rewrite the function to make it easy to graph using transformations of its parent function.
Describe the transformations of the graph.
Y= ^3 square root 8x-24+1
To make it easy to graph using transformations of its parent function, we can rewrite the function as y = √(8x - 24) + 1.
Transformations of the graph:
1. Horizontal translation: The graph is shifted 3 units to the right (since x - 3 = 0 gives x = 3).
2. Vertical translation: The graph is shifted 1 unit up.
3. Horizontal stretch/compression: The horizontal stretch/compression factor is still 1 (no change).
4. Vertical stretch/compression: The vertical stretch/compression factor is still 1 (no change).
By knowing these transformations, we can easily sketch the graph of y = √(8x - 24) + 1 on the coordinate plane.