Y=2x²-10

To prepare for your university exams, it's important to understand the equation you have provided.

The equation y = 2x² - 10 is a quadratic equation. It represents a parabolic curve on a graph, where the y-coordinate is determined by the x-coordinate.

In this equation, the coefficient of x² is 2, which means that the parabola will be narrower than a parabola with a coefficient of 1. The negative sign in front of the 10 shifts the parabola downward by 10 units.

To further prepare for your exams, you can:

1. Graph the equation to visually understand its shape. You can use online graphing tools or plot points yourself.
2. Find the vertex, which is the turning point of the parabolic curve. The vertex can be calculated by using the formula x = -b/2a, where b is the coefficient of x and a is the coefficient of x².
3. Determine the axis of symmetry, which is a vertical line that passes through the vertex.
4. Find the y-intercept by substituting x=0 into the equation.
5. Use the quadratic formula to find the x-intercepts, if there are any. The x-intercepts are the points where the parabola intersects the x-axis.
6. Plot a few extra points on the graph using various values for x, and calculate the corresponding y-values to gain a better understanding of the shape of the parabola.
7. Practice solving related problems involving quadratic equations, such as finding the maximum or minimum value of the equation or determining the equation given certain points.

Remember to review the properties of quadratic equations, such as vertex form, factoring, completing the square, and using the quadratic formula, to be well-prepared for your exams. Good luck!