The graph of the quadratic function y = 2x² is a parabola that opens upwards.
To sketch the graph, we can plot some points and connect them with a smooth curve.
First, we can choose some values of x and find the corresponding values of y:
- When x = -2, y = 2(-2)² = 8
- When x = -1, y = 2(-1)² = 2
- When x = 0, y = 2(0)² = 0
- When x = 1, y = 2(1)² = 2
- When x = 2, y = 2(2)² = 8
We can plot these points (-2, 8), (-1, 2), (0, 0), (1, 2), and (2, 8) on a coordinate plane.
The vertex of the parabola is at the origin (0, 0), which is also the minimum point of the parabola.
The graph of the quadratic function y = 2x² is shown below:
![Graph of y = 2x²]