The equation in the image is:

$y = \frac{x^2 - 3x^2}{2}$

Let's simplify this expression.

First, simplify the numerator:

$x^2 - 3x^2 = -2x^2$

Now, divide by 2:

$y = \frac{-2x^2}{2} = -x^2$

So, the simplified equation is:

$y = -x^2$

Would you like further details or have any questions?

Here are 5 related questions:

1. How does the graph of $y = -x^2$ look like?
2. What is the vertex of the parabola $y = -x^2$?
3. How does changing the coefficient of $x^2$ affect the graph of a quadratic equation?
4. Can we find the roots of the equation $y = -x^2$?
5. What is the effect of multiplying a quadratic by a negative number?

Tip: The equation $y = -x^2$ represents a parabola that opens downwards because of the negative sign.