Question

Complete the table for the function f(x) = x2 - 4x.

Answer 1

By substituting each x value into the function
`f(x) = x^2 - 4x` and evaluating, we completed the table with the corresponding f(x) values. Remember that this function is a parabola with its vertex at (2, -4) and opens downwards.

Completing the Table for
`f(x) = x^2 - 4x`

Here's the completed table for the function
`f(x) = x^2 - 4x`:

x f(x)

-2 12

-1 5

0 0

1 -3

2 -4

3 -3

Step-by-step explanation:

To complete the table, we simply need to evaluate
`f(x) = x^2 - 4x` for each given value of x. Here's how we did it for each row:

`x = -2: f(-2) = (-2)^2 - 4(-2) = 4 + 8 = 12`

`x = -1: f(-1) = (-1)^2 - 4(-1) = 1 + 4 = 5`

`x = 0: f(0) = (0)^2 - 4(0) = 0 + 0 = 0`

`x = 1: f(1) = (1)^2 - 4(1) = 1 - 4 = -3`

`x = 2: f(2) = (2)^2 - 4(2) = 4 - 8 = -4`

`x = 3: f(3) = (3)^2 - 4(3) = 9 - 12 = -3`