What is the equation of the graph?

(its in attachment)

f(x) = − |x| + 2
f(x) = − |x| − 2
f(x) = − |x + 2|
f(x) = − |x − 2|

Question

What is the equation of the graph?

(its in attachment)

       f(x) = − |x| + 2
       f(x) = − |x| − 2
       f(x) = − |x + 2|
       f(x) = − |x − 2|

anonymous · Answer

attachment

amistre64 · Answer

hmm, what are your thoughts about it?

anonymous · Answer

i think its B @amistre64

amistre64 · Answer

hmm, B is not correct, but i think i see why you could have picked it

amistre64 · Answer

when x=0, y = -2

all but A satisfy this.

now, when x=say -4, we are at -2:

using B we would get:  -|-4|-2 = -6  as a test

amistre64 · Answer

the graph is a modified version of |x|,  -|x| at best.  now we shift to the left by 2, not up and down.

y = -|x+h| = 0 when x=-2, so h=2  is what i see it as