How do you solve the absolute value equation y=-2abs(5x+8)+4 and find the vertex, x intercepts and y intercept?
1 Answer
May 28, 2015
Given
If
Similarly
If
Any vertex must exist at the point where these two condition meet;
That is when
at
The y-intercept occurs when
The x-intercepts occur when
Case 1:
Case 2:
In summary
the critical point is at
(-8/5,4)
the y-intercept is at(-12)
the x-intercepts are at(-6/5) and
graph{-2*abs(5x+8)+4 [-5.696, 4.17, -0.437, 4.493]}