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The function f is given by the table of values shown below.

x 0 1 2 3
f(x) 0 2 8 26

If function f is shifted vertically down by 2 units to obtain function g, complete the table of values which represents function g.

x 0 1 2 3
g(x) ? ? ? ?

If function f is shifted vertically down by 2 units, we must substract 2 to each value of f(x) to get g(x):
x=0→f(0)=0→g(0)=0-2→g(0)=-2
x=1→f(1)=2→g(1)=2-2→g(1)=0
x=2→f(2)=8→g(2)=8-2→g(2)=6
x=3→f(3)=26→g(3)=26-2→g(3)=24

Answer:
x 0 1 2 3
g(x) -2 0 6 24

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adioabiola adioabiola · Answer 2 · 2022-02-15T12:16:23+01:00

When the function f(x) is shifted vertically down by 2 units to obtain function g, the table which represents function g(x) is;

x = 0, 1, 2, 3
g(x) = -2, 0, 6, 24

Translation of functions

According to the question;

Function, g(x) is obtained when the function, f is shifted vertically down by 2 units.

On this note, the function g and f are related as follows;

g(x) = f(x) -2

Hence, the values of g(x) are 2 units lesser than respective values of f(x) as represented in the table above.