Question

What is the equation of the absolute value function?

y = 6|x + 2| –2
y = 6|–x – 2| + 2
y = –6|x + 2| – 2
y = –6|x – 2| – 2

Answer 1

I notice a 6 on all your choices, so we can assume that there's a "vertical shrink" of a factor 6

so.... a negative value of the number in front of the expression, in this case 6, will flip the parent function |x| graph upside down, so it's not the negative ones


can you tell from the graph, what's the vertex coordiinates?

Answer 2

-2,2

Answer 3

so x = -2 and y = 2
the vertex is at (-2, 2)

the value of "x" at the vertex, will make the absolute value expression = 0
that is \(\bf 6|(-2)+2|-2\implies 6|-(-2)-2|+2\\\\ \quad \\
6|-(x)-2|+2\implies 6|-x-2|+2\)