Answer:
To shift the absolute value parent function, f(x) = |x|, 5 units to the right and 7 units down, we need to make the following changes to the equation:
To shift the absolute value parent function, f(x) = |x|, 5 units to the right and 7 units down, we need to make the following changes to the equation:
For the horizontal shift of 5 units to the right, we replace x with (x + 5).
For the vertical shift of 7 units down, we subtract 7 from the entire equation.
Applying these changes, the equation of the new function, g(x), would be:
g(x) = |(x + 5)| - 7
Therefore, the correct option is:
D. g(x) = |x + 5| - 7