Answer
See image
Work Step by Step
$4x^{2}+y=4$
$y=4-4x^{2}$
$\left[\begin{array}{ll}
\text{x-intercepts:} & \text{y-intercepts:}\\
0=4-4x^{2} & y=4-0\\
4x^{2}=4 & y=4\\
x^{2}=1 & \\
x=\pm 1 & \\
(-1,0),(1,0) & (0,4)\\
&
\end{array}\right]$
Additional points:
$\left[\begin{array}{ll}
x & y\\
2 & -12\\
-2 & -12
\end{array}\right]$