Question

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.

Answer 1

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
$f(x) = |x - 3| + 2$

To
$f(x) = |(x + 2) - 3| + 2$
$f(x) = |x - 1| + 2$

And therefore the function is shifted 2 to the left.

Answer 2

Answer:

A

Step-by-step explanation:

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