Question

graph : f(x) = |x-3| + 5
and
-f(x) = |-x+3| - 5

Answer 1

For question 1
First draw y = x.
Shift the graph right 3 units.
Reflect the graph where y < 0 against the x-axis and you will get a V-shape graph.
Shift the entire graph 5 units up to get f(x) = |x - 3| + 5

For question 2
-f(x) = |-x + 3| - 5
f(x) = 5 - |-x + 3| = 5 - |-(x - 3)| = -|x - 3| + 5
Reflect the graph of f(x) = |x - 3| + 5 downwards to get an inverted V-shape graph.
The two graphs should be intersecting at the tips of the V's.