Question

. Write the equation of the function graphed.

f(x) = |x| + 4
f(x) = |x| − 4
f(x) = |x + 4|
f(x) = |x − 4|

Answer 1

Hmm i have the answer yet it is hard to explain...

Answer 2

absolute parent function looks like https://upload.wikimedia.org/wikipedia/commons/0/0b/Absolute_value.png
how it shifts is determined by f(x) = a|x - h| + k
with (h, k) being the vertex
so with vertex of (-4, 0)
plug it into f(x) = |x - h| + k and what do you get?

Answer 3

I know the answer but... I don't know how.... to really say it its confusing

Answer 4

According to the Graph F(-4)=0 and f(-6)=2 f(0)=4
Check with every function they gave you and see which is correct :)
Now let's check with f(-4)=0
f(-4) = |-4| + 4=8
f(-4) = |-4| − 4=0=0
f(-4) = |-4 + 4|=0=0
f(-4) = |-4 − 4|=8

Now let's check with f(0)=4 the two functions left

f(0) = |0| − 4=-4
f(-4) = |0 + 4|=4=4 this one is correct f(x)= |x + 4|

Answer 5

complicated but yes :P
or you can just plug (-4, 0) as (h, k)
into f(x) = |x - h| + k
so = |x - (-4)| + 0
which simplifies to f(x) = |x + 4|