Question

Which absolute value function opens down?

1)y = 2|x- 5|
2)y = [X + 1|-7
3)y = -|X+ 4 |+ 8
4)y = 1/4|X-9|

Answer 1

• 3) y = - | x + 4| + 8

Explanation:

The general form of an absolute value function is

• f(x)=a|x-h|+k

It opens up if a> o and opens down if a < 0

From the given functions:

• y = - | x + 4| + 8, opens down

see attached for reference