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

1 answer

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 x-axis 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