Question

Plot points for the function f(x) = x² + 2x by creating a table of values. Make sure your table includes at least two points to the left of the vertex, and two points to the right of the vertex.

Answer 1

To plot points for the function f(x) = x² + 2x, we first create a table of values. We choose two points to the left of the vertex (-2, 0) and (-1, -1), and two points to the right of the vertex (1, 3) and (2, 8). Plotting these points and connecting them gives a graphical representation of the function.

Step-by-step explanation:

To plot points for the function f(x) = x² + 2x, we can create a table of values.

Let's choose two points to the left of the vertex and two points to the right of the vertex:

1. Choose x = -2 and substitute it into the function:
   For x = -2, f(x) = (-2)² + 2(-2) = 4 - 4 = 0.
   So, we have the point (-2, 0).
2. Choose x = -1 and substitute it into the function:
   For x = -1, f(x) = (-1)² + 2(-1) = 1 - 2 = -1.
   So, we have the point (-1, -1).
3. Choose x = 0 and substitute it into the function:
   For x = 0, f(x) = 0² + 2(0) = 0.
   So, we have the point (0, 0).
4. Choose x = 1 and substitute it into the function:
   For x = 1, f(x) = 1² + 2(1) = 1 + 2 = 3.
   So, we have the point (1, 3).
5. Choose x = 2 and substitute it into the function:
   For x = 2, f(x) = 2² + 2(2) = 4 + 4 = 8.
   So, we have the point (2, 8).

Now, plot these points on a graph and connect them to get a graphical representation of the function f(x) = x² + 2x.