Question

Which of the following is true about the function y = |x + 5| - 9?The parent function y = |x| is shifted 5 units left and 9 units down.The parent function y = |x| is shifted 5 units right and 9 units down.The parent function y = |x| is shifted 5 units left and 9 units up.The parent function y = |x| is shifted 5 units right and 9 units up.

Answer 1

The parent function y = |x| is shifted 5 units left and 9 units down. Option A

Explanations:

Given the parent function for the modulus expression sown below;

y = |x|

The function y = |x + 5| - 9 shows a horizontal shift to the left by 5 units and vertical shift down the plane by 9 unts.

Hence we can conclude that the true statement is the parent function y = |x| is shifted 5 units left and 9 units down.