Answer
(a) $y=f(x)+2$
(b) $y=f(x)-2$
(c) $y=f(x-2)$
(d) $y=f(x+2)$
(e) $y=-f(x)$
Work Step by Step
(a) $y=f(x)+2$
Because by adding two we increase every value of the function by $2$ and the points move upwards by $2$ units.
(b) $y=f(x)-2$
Because by subtracting two we decrease every value of the function by $2$ and the points move downwards by $2$ units.
(c) $y=f(x-2)$
Because everything that "happened" to the function at $x$ now will happen two units "latter" i.e. the graph will shift to the right.
(d) $y=f(x+2)$
Because everything that "happened" to the function at $x$ now will happen "earlier" i.e. the graph will shift to the left.
(e) $y=-f(x)$
Because every value will change its sign so the points of the graph will reflect with respect to $y$ axis.
