Question

Create a table of points from the equation f(x)=3x2−8x+2.

Answer 1

(See explanation below for further details)

Explanation:

A second order polynomial (quadratic function) can be well represented with at least three distinct points. Let is take five equidistant different points:

x = 0

`f(0) = 3\cdot (0)^(2)-8\cdot (0) +2`

`f(0) = 2`

x = 1

`f(1) = 3\cdot (1)^(2)-8\cdot (1)+2`

`f(1) = -3`

x = 2

`f(2) = 3\cdot (2)^(2)-8\cdot (2)+2`

`f(2) = -2`

x = 3

`f(3) = 3\cdot (3)^(2)-8\cdot (3)+2`

`f(3) = 5`

x = 4

`f(4) = 3\cdot (4)^(2)-8\cdot (4) + 2`

`f(4) = 18`

The table of points from the equation
`f(x) = 3\cdot x^(2)-8\cdot x +2` is:

`x`
`f(x)`

0 2

1 -3

2 -2

3 5

4 18

A graphic of the given function is included below as attachment.