Question

The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x)

Answer 1

g(x) = |x-1| + 7

Explanation:

g(x) = a|x-h| + k

the vertical shift (k) is 7 units UP.

g(x) = a|x-h| + 7

The horizontal shift (h) is 1 unit RIGHT.

g(x) = a|x-1| + 7

Now let's solve for x by plugging in the point (0,8) .

g(x) = a|x-1| + 7

8 = a |0-1| + 7

1 = a *1

1 = a

So there is no stretch or compression.

final equation:

g(x) = |x-1| + 7