Question

Function f is given by the table of values shown.

Answer 1

Answer:

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8

Step-by-step explanation:

When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).

Given the following table ...

x | 0 | 1 | 2 | 3

f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.