Question

Karla and Isamar are disagreeing over which way the graph of the function ????(x) = |x + 3| is translated relative to

the graph of f(x) = |x|. Karla believes the graph of ???? is "to the right" of the graph of f; Isamar believes the graph
is "to the left." Who is correct? Use the coordinates of the vertex of f and ???? to support your exp

Answer 1

Isamar

Explanation:

We are given that a function

`g(x)=\mid {x+3}\mid` is a translation of the graph

`f(x)=\mid x \mid`

Karla believes that the graph of g is '' to the right '' of the graph of f.

Isamar believes that the graph of g is ''to the left'' of the graph f.

When we draw a graph then we can see that

The coordinates of vertex of f are (0,0).

The coordinates of vertex of g(x) are (-3,0).

When x shift 3 units towards left then we get g(x)

Therefore, Isamar is correct.