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What effect does replacing x with x + 2 have on the graph for the function f(x) ?

f(x)=|x−3|+2

A. The graph is shifted 2 units left.
B. The graph is shifted 2 units up.
C. The graph is shifted 2 units down.
D. The graph is shifted 2 units right.

Respuesta :

MarkV
The answer is A.

When replacing the variable 'x' by 'x + 2' the graph is shifted 2 units to the left. When we replace the variable, the function changes

from
[tex]f(x) = |x - 3| + 2[/tex]

To
[tex]f(x) = |(x + 2) - 3| + 2[/tex]
[tex]f(x) = |x - 1| + 2[/tex]

And therefore the function is shifted 2 to the left.

Answer:

A

Step-by-step explanation:

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