graph the function y, equals, minus, 2, x, squared, plus, 5, commay=−2x 2 +5

To graph the function y = -2x^2 + 5, we can follow these steps:

Step 1: Choose a range of x-values to plot on the graph. Let's say we choose -5 to 5.

Step 2: Substitute different x-values into the equation to find the corresponding y-values. For example, when x = -5, y = -2(-5)^2 + 5 = -2(25) + 5 = -50 + 5 = -45. Similarly, when x = 0, y = -2(0)^2 + 5 = 0 + 5 = 5.

Step 3: Plot the points (x, y) on the graph. For the chosen x-values, we have the following points: (-5, -45), (0, 5), (1, 3), (2, 1), (3, -1), (4, -3), and (5, -5).

Step 4: Connect the plotted points with a smooth curve. Since the equation is a quadratic function, the graph will be a downward-opening parabola.

Step 5: Label the x-axis and y-axis accordingly.

The final graph should show a downward-opening parabola passing through the plotted points.