Question

Create a graph to show the plot of the vertex for the equation:
F(x) = (x - 2)^2 + 2

Answer 1

In order to plot the graph of the equation F(x) = (x - 2)² + 2, create a table of values for x and find the corresponding y values. Plot the points on a graph to show the plot of the vertex.

Step-by-step explanation:

To plot the graph of the equation F(x) = (x - 2)² + 2, we can create a table of values for x and find the corresponding y values using the equation.

For example, when x = 0, y = (0 - 2)² + 2 = 6.

Similarly, when x = 1, y = (1 - 2)² + 2 = 3.

Once we have a few (x, y) pairs, we can plot them on a graph, with x on the x-axis and y on the y-axis. Connecting the points will give us the plot of the vertex.

Let's create a table of values:

x = 0, y = 6

x = 1, y = 3

x = 2, y = 2

x = 3, y = 3

x = 4, y = 6