Question

What is an absolute value equation with a vertex at (-3,4)

Answer 1

Given vertex at (-3,4) =(h,k)
we know y=m|x-h|+k is the parent equation.
m=slope,
h=where the vertex is shifted (left or right) from the origin, in this case it is shifted 3 units to the left
k=where the vertex is shifted (up or down) from the origin, in this case it is shifted 4 units up
=>absolute value equation
=>y=m|x+3|+4
let (x,y)=(0,0)
=>0=m|0+3|+4
=>m=-4/3
hence absolute value equation
=>y= -4/3|x+3|+4

See also: CBSE Sample Papers http://goo.gl/Z5tWIh