pre calc
posted by si .
the graph of y=1/2 x+5 +3 can be obtained from the graph of y= x by which transformations
what is the horizontal shift
by what factor is the graph stretched or shrunk vertically and how is it reflected

Assuming you meant 1/2 (x+5) + 3,
starting with y = x
shrink by a factor of 2 to get
y = 1/2 x
reflect through xaxis to get
y = 1/2 x
shift left 5 units to get
y = 1/2 (x + 5)
shift up 3 units to get
y = 1/2 (x+5) + 3