Absolute Value Functions and Graphs quick Question...*Basic*? ?

Question

in the function:

y=4-|x+2|

what is b, m, and c?

I'm having trouble defining the vertex, and of course that leads to problems later on...

Thank you in advance.

(:

Answer 1

here with absolute values the shape is a v shape on just s single line

y=4-|x+2|

= -|x+2|  +4

now comparign it to y =|x| which is a v shape with vertex a 0,0

your v is upside down because of the minus sign

it has then been moved to the left2 spaces sideways ( because of the +2) and up 4 spaces

so the vertex of this is at -2,4

the m, slope is 1x, but as there are 2 parts to the v   one part is +1slope and the other is -1 slope.

the y intercept b is found when x=0

y=4-|0+2| = 4-2 = 2  b=2