Question

write the equation for the translation given in the following graph

Answer 1

First We see the function has its lowest point at y=4 and we see that the type of function is an absolute function.

So, the function must be

$f(x)=\mleft|x\mright|+4$

we can probe with some points

x f(x)

1 5

-1 5

0 4

The points of the graph match with the results of replacing values in the equation.