https://file.aiquickdraw.com/mathbot/file/1726359339762gb91epdm.jpg

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.

Learn how to simplify the quadratic expression y = (x^2 - 3x^2) / 2. This problem covers key algebraic concepts, including simplification of quadratic terms. Suitable for students in Grades 8-10.

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