Question

Write the functions represented by the graphs.

f(x) =

g(x) =

h(x)=

Answer 1

Check the picture below.

notice, the parent function is really f(x) = |x|, and the other are simply just vertical translations of it.

Answer 2

The correct answers are

h(x) = |x| + 3

f(x) = |x|

g(x) = |x| - 2

Explanation:

To find this, first not that they are absolute value equations. f(x) represents the base equation, so we look for how it is translated to the other two.

h(x) is simply the f(x) equation moved up by 3. Therefore, we can write it as the f(x) equation + 3.

Similar, we can do that with g(x) as well only by subtracting 2 from the end as it is down 2.