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

y = - x - 1

Step-by-step 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.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5