Question

http://static.k12.com/calms_media/media/242500_243000/242869/1/776b28b2042095efe0c0bbedfe0778ce32d29a11/VHS_ALG_L3_S2_01_16_UTQ4.gif


Write the equation of the function graphed.
VHS_ALG_L3_S2_01_16_UTQ4.gif

A.
f(x) = |x – 4|

B.
f(x) = |x| – 4

C.
f(x) = |x + 4|

D.
f(x) = |x| + 4

Answer 1

@mathmale

Answer 2

well the graph is translated to the left of the y-axis... which is a horizontal shift

Answer 3

a?

Answer 4

what have you learned about transforming functions so far?

Answer 5

nothing

Answer 6

y=f(b(x+c)) + d

the c will show the horizontal shift

if c is less than zero, it will shift the graph to the right

if c is greater than zero, it will shift the graph to the left

Answer 7

i dont get it

Answer 8

y=f(b(x+c))+d

we only have a translation left in this graph so lets simply this a bit

y=f(x+c)

the f(x) part our our absolute value function we are given

Answer 9

so if c<0 then the graph will shift to the right
and
if c>0 the graph will shift to the left

Answer 10

c?

Answer 11

yes

Answer 12

thanks