Question 1124994
{{{y = 2(0.5)^x}}}

make table:

{{{x}}}|{{{y}}}
{{{-4}}}|{{{32}}}→ {{{2*(0.5)^(-4) = 32}}}
{{{-2}}}|{{{8}}}→ {{{2*(0.5)^(-2) = 8}}}
{{{1}}}|{{{1}}}→ {{{2*(0.5)^(1) = 1}}}
{{{2}}}|{{{0.5}}}→ {{{2*(0.5)^(2) = 0.5}}}
{{{0}}}|{{{2}}} → {{{2*(0.5)^(0) = 2}}}

 {{{drawing( 600, 600, -10, 10, -10, 40,
circle(-4,32,.12),circle(1,1,.12),circle(2,0.5,.12),circle(0,2,.12),circle(-2,8,.12),
locate(-4,32,p(-4,32)),locate(1,1,p(1,1)),locate(2,0.5,p(2,0.5)),locate(0,2,p(0,2)),locate(-2,8,p(-2,8)),
 graph( 600, 600, -10, 10, -10, 40,  2(0.5)^x)) }}}