Question

The equation y = 2x + 1 is changed to y = 2x - 1. How does this change the graph of the line?
A) The original line will shift down 1 unit.
B) The original line will shift left 1 unit.
C) The original line will shift left 2 units.
D) The original line will shift down 2 units.

Answer 1

y = 2x + 1
y = 2x - 1

so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units

Answer 2

Answer:

D) The original line will shift down 2 units.

Step-by-step explanation:

The rate of changes [slopes] remain the same [2], so all you need to do is figure out how much far $\displaystyle [0, 1]$is from $\displaystyle [0, -1],$ and that would be two units:

$\displaystyle -1 + 2 = 1$

I am joyous to assist you anytime.