How do I graph y = 2x squared -7?
(0, -7) , (-sqrt(7))/2, 0) , (sqrt((7))/2, 0)
correct on your data points. It looks like a parabola to me
To graph the equation y = 2x^2 - 7, you can follow these steps:
1. Choose some values for x: To create points on the graph, you need to pick different x-values. You can choose any numbers you want, but it's helpful to pick ones that are easy to work with. Let's use x = -2, -1, 0, 1, and 2.
2. Substitute the x-values into the equation: For each x-value you chose, substitute it into the equation to find the corresponding y-value. For example, when x = -2, y = 2(-2)^2 - 7 = 2(4) - 7 = 8 - 7 = 1.
3. Create ordered pairs: You now have some x-values and their corresponding y-values. Combine these into ordered pairs like (-2, 1), (-1, -5), (0, -7), (1, -5), and (2, 1).
4. Plot the points on a graph: Take each ordered pair and plot it on the coordinate plane. For example, for (-2, 1), start at the origin (0, 0), move 2 units to the left on the x-axis, and then go up 1 unit on the y-axis to mark the point.
5. Connect the points: Once you have plotted all the points, connect them with a smooth curve. Since the equation y = 2x^2 - 7 is a quadratic function, the graph will be a parabola.
By following these steps, you will be able to graph the equation y = 2x^2 - 7 accurately.