"find the coordinates of the vertex of the graph"y=lxl-6?

Question

HELP!

Answer 1

With an absolute value, the vertex is where the absolute value is equal to zero.

So |x| = 0
x = 0

Now plug in x = 0 and solve for y:
y = 0 - 6
y = -6

So the point is (0, -6)

In general, if you have an equation of the form:
y = |x - h| + k

Then the vertex will be at the point (h, k).

Your equation is equivalent to:
y = |x - 0| + (-6)

So you can read off h and k (0 and -6)

The vertex is at the point (0, -6)

Answer 2

This graph looks like a "V"; the vertex exists where x = 0 or y=-6

Answer 3

Its (0,-6).