Question

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

Answer 1

Answer:

(See explanation below for further details)

Step-by-step 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.