Question

1. Write an equation for the following graph.

2. Write an equation for the following graph.

3. Write an equation for the following graph.

Answer 1

1. pick 2 points

(0,2) (-2,0)

find the slope

m=(y2-y1)/(x2-x1)

m=(0-2)/(-2-0)

m=-2/-2

m=1

use point slope form

y-y1 = m(x-x1)

y-2 = 1 (x-0)

y-2 =x

change to slope intercept

add2 to each side

y = x+2

NOT SURE THE ORDER FOR 2 AND 3 CHECK THE POINTS

2. "v"'s are absolute value equations

vertex is at (-1, -3)

the slope is 1 (it goes over 1 and up (or down) 1

y = m abs (x-h) +k where (h,k) is the vertex

y = abs (x--1) -3

y = abs (x+1) -3

3. "v"'s are absolute value equations

vertex is at (-1, 0)

the slope is 1 (it goes over 1 and up (or down) 1

y = m abs (x-h) +k where (h,k) is the vertex

y = abs (x--1) +0

y = abs (x+1)