\(y=2\times(1-{x}^{2})\)
\(y=2-{2x}^{2}\)
\(y={-2x}^{2}+2\)
x-intercepts:
\(0=-{2x}^{2}+2\)
\(-2={-2x}^{2}\)
\(1={x}^{2}\)
\(±1=x\)
\(x=±1\)
\(x=1\) and \(x=-1\)
\((1,0)\) and \((-1,0)\)
y-intercept:
\(y=-{2(0)}^{2}+2\)
\(y=-2(0)+2\)
\(y=0+2\)
\(y=2\)
\((0,2)\)
Graph: