Question

Which direction would the graph of y=-|X|+ 9 open?

right
down
left
up

Answer 1

Down

Explanation:

The "parent function" is y = |x|, which opens up.

Changing the sign to y = -|x| flips (reflects) the graph over the x-axis, so the new graph opens down. Adding 9 shifts the graph up 9 units, but that does not change the way the graph opens.

See the attached image.

y = |x| purple

y = -|x| black

y = -|x| + 9 red