Question

What is the function graphed below?


graph in attachment




y = |x| + 1

y = |x| - 1

y = |x + 1|

y = |x - 1|

Answer 1

Answer:  Third option

$y = |x + 1|$

Step-by-step explanation:

The main function

$f (x) = | x |$

has its vertex in the point (0, 0)

The function shown in the graph has its vertex in the point (-1, 0)

The transformation made to f (x) that moves its vertex one unit to the left is:

$y = f (x + 1)$

After this transformation the new function is:

$f (x) = | x + 1 |$   Note that this function corresponds to the function plotted in the image.

Therefore the answer is the third option