Question 902540
How can you show vertical reflection, shift left 3, and shift up 6 to these functions: |x|  and  square root of x.
"Vertical reflection" is the same as a reflection about the x-axis.
.
function: |x|
vertical reflection: -|x|
shift left 3: |x+3|
shift up 6: |x| + 6
put them all together
|x| vertical reflection, shift left 3, and shift up 6 is
-|x+3|+6
.
function: sqrt(x)
vertical reflection: -sqrt(x)
shift left 3: sqrt(x+3)
shift up 6: sqrt(x) + 6
put them all together
|x| vertical reflection, shift left 3, and shift up 6 is
-sqrt(x+3)+6