Question 759031
{{{x = 1 -y^2}}}

{{{y^2= 1 -x}}}

{{{y= sqrt(1 -x)}}}

make a table, choose several values for {{{x}}} coordinate, find {{{y}}} coordinate, plot all points and draw a line through

{{{x}}}|{{{y}}}

{{{0}}}|{{{1}}}........{{{y= sqrt(1 -0)}}}=>{{{y= sqrt(1)}}}=>{{{y=1}}}

{{{1}}}|{{{0}}}........{{{y= sqrt(1 -1)}}}=>{{{y= sqrt(0)}}}=>{{{y=0}}}

{{{-1}}}|{{{1.41}}}........{{{y= sqrt(1 -(-1))}}}=>{{{y= sqrt(2)}}}=>{{{y=1.41}}}

{{{2}}}|{{{i}}}........{{{y= sqrt(1 -2)}}}=>{{{y= sqrt(-1)}}}=>{{{y=i}}} complex root (as you can see, domain is all {{{x<=1}}}; so, you can continue to use only negative numbers

{{{-3}}}|{{{2}}}........{{{y= sqrt(1 -(-3))}}}=>{{{y= sqrt(4)}}}=>{{{y=2}}}

{{{-5}}}|{{{2.5}}}........{{{y= sqrt(1 -(-5))}}}=>{{{y= sqrt(6)}}}=>{{{y=2.5}}}


{{{ drawing( 600,600, -10, 10, -10,10,
circle(0,1,0.17),
circle(-5,2.5,0.17),
circle(-3,2,0.17),
circle(-1,1.41,0.17),
circle(1,0,0.17),
graph( 600,600, -10, 10, -10, 10, sqrt(1 -x))) }}}