Question

17.

The graph of the function y = -x + 2 is shown below.
If the line is translated 3 units down, which equation
will best describe the new line?
A. y = -x + 5
B. y = -x
y = -3x + 2
D. y = -x-1
E. y = x - 1

Answer 1

y = - x - 1

Explanation:

The graph of the function y = - x + 2, is translated 3 units down .

Then the values of x will not change but the values of y will be 3 less than the original value corresponding to a certain x value.

Therefore, the new equation will be given by (y +3) = -x + 2

⇒ y = - x + 2 - 3 = - x - 1 (Answer)

SO, option D will be correct.