Answer:
Option 3 is correct.
Step-by-step explanation:
Given the functions we have to select the correct transformation of the quadratic function shifted eight units to the left and one unit down.
As we know, to create a new function to apply vertical shift up we have to add the number of shift to that function or vertical shift down we have to subtract that from the given function.
Similarly, to create a new function to apply horizontal shift left we have to add the number of shift to that function of x or shift right we have to subtract that from the given function.
If we have to transform the quadratic function shift one unit down then we have to subtract 1 from the function.
And If we have to transform the quadratic function shift eight units to the left we have to add the shift to x.
Hence, the new function becomes, \(f(x)=(x+8)^2-1\)
Option 3 is correct.
