Question

Consider the relation y = −3|x + 5| − 6. What are the coordinates of the vertex?

Answer 1

Solution:

Given the relation below

$y=-3|x+5|-6$

The general form, an absolute value function is

$y=a|x-h|+k$

The vertex coordinates are (h, k)

Solving to find the vertex below

$\begin{gathered} x+5=x-h \\ 5=-h \\ h=-5 \\ k=-6 \\ (h,k)\Rightarrow(-5,-6) \end{gathered}$

Hence, the coordinates of the vertex is

$(-5,-6)$