which of the following equations translates the parent function y-x^5 three units right and four units down? select all that apply.

Question

a) y+4=(x-3)^5

b) y-4=(x+3)^5

c) y=(x-3)^5-4

d) (x+3)^5+4

Answer 1

Choice a and c are the same.

a) y+4=(x-3)^5

use the subtraction property of equality to get y+4-4 = (x-3)^5 - 4

then simplify to y=(x-3)^5 - 4

c) y=(x-3)^5 -4

The shift is from the origin to (h,k) where in this case h is 3 and k is -4.

This is a shift 3 units to the right, and 4 units down.

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