The graph of y=x + 3 is a vertical translation of
the graph of y = x + 1, 2 units upward. Examine the intercepts of both lines
and state another way that the geometric relationship between the two graphs
can be described.
we have
step 1
y=x+3
Find the x-intercepts
Value of x when the value of y is equal to zero
For y=0
0=x+3
solve for x
x=-3
step 2
y=x+1
Find the x-intercepts
Value of x when the value of y is equal to zero
For y=0
0=x+1
x=-1
step 3
The graph of y=x+3 is a horizontal translation 2 units at left of the graph of y=x+1
The rule is
(x,y) -------> (x-2,y)