# Question #a80a1

$4 a y = 4 {a}^{2} - 8 {x}^{2} \text{ converting words into symbols}$
is a parabola (assuming $a$ is an arbitrary constant $\ne 0$).
$y = a - \frac{2}{a} {x}^{2}$
$y = \left(- \frac{2}{a}\right) {x}^{2} + a$
which is the standard slope $\left(- \frac{2}{a}\right)$ and y-intercept $\left(a\right)$