Answer:

Explanation:
Given
through (0,1) and (1,5)
through (0,-6) and (1,-2)
Required
Determine the value of k if f(x) is translated vertically down
To get the value of k, we perform the following operations.
For (0,-6) --- Substitute 0 for x and -6 for g(x) in 






For (1,-2) --- Substitute 1 for x and -2 for g(x) in 






To further show that k = -7, we have the following:
When translated downward by 7 units, the function becomes

Recall that:
and
So, we have:

Subtract
from both sides


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