It looks like you're trying to write a mathematical equation. Based on your input, it appears you intended to write:

\[
y = 2x^2 - 4
\]

This represents a quadratic equation. Here, \(y\) is expressed as a function of \(x\). The general form of a quadratic function is:

\[
y = ax^2 + bx + c
\]

where:
- \(a = 2\) (the coefficient of \(x^2\)),
- \(b = 0\) (there is no linear \(x\) term),
- \(c = -4\) (the constant term).

### Key Features of the Quadratic Function

1. **Vertex**: The vertex form of a parabola \(y = ax^2 + bx + c\) can be found using the vertex formula \(x = -\frac{b}{2a}\). In this case, the vertex is at \((0, -4)\).
2. **Axis of Symmetry**: The axis of symmetry for the parabola is a vertical line that passes through the vertex. Here, it is \(x = 0\).
3. **Direction of Opening**: Since \(a = 2 > 0\), the parabola opens upwards.
4. **Y-Intercept**: The y-intercept occurs when \(x = 0\). Substituting \(x = 0\) into the equation gives \(y = -4\). So, the y-intercept is \((0, -4)\).
5. **X-Intercepts**: The x-intercepts occur when \(y = 0\). Setting the equation to 0:

\[
0 = 2x^2 - 4 \implies 2x^2 = 4 \implies x^2 = 2 \implies x = \pm \sqrt{2}
\]

So, the x-intercepts are at \(x = \sqrt{2}\) and \(x = -\sqrt{2}\).

Would you like more details on any of these features or have any questions? 

### Related Questions:
1. How do you find the vertex of a quadratic function in different forms?
2. What is the significance of the discriminant in a quadratic equation?
3. How can you convert a standard form of a quadratic equation to its vertex form?
4. How do transformations affect the graph of a quadratic function?
5. What are the steps to solve quadratic equations using the quadratic formula?

**Tip**: Always check the coefficient of the \(x^2\) term in a quadratic function to determine whether the parabola opens upwards or downwards.

Explore the quadratic function y = 2x^2 - 4 in this detailed solution. Learn about its vertex, axis of symmetry, direction of opening, and intercepts. Suitable for students in Grades 9-10, this page covers essential algebraic concepts of quadratic functions and their graphical features.

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