Question

Which direction would the graph of y=-|x+2|+3 open?

Answer 1

this is it, it will open down :)

Answer 2

The absolute function opens in downward direction.

Explanation:

we have to find the direction in which the graph of y=-|x+2|+3 open.

The general form of an absolute value function is f(x)=a|x-h|+k.

The absolute value function will always open to the negative direction when a is negative and positive direction i.e upward when a is positive.

Here, given absolute function is y=-|x+2|+3

which gives a=-1, negative

Hence, the absolute value function will always open to the negative direction. Because this is in the form y = -|x|, it opens down.