Question #ab2af

1 Answer
Jan 23, 2018

Answer:

See below.

Explanation:

Simple. Flip the leading variable.

Let's say we have the function #f(x)=x^2+4x+4#.

This parabola will open upward:
graph{x^2+4x+4 [-10, 10, -5, 5]}

Now flip the leading variable, here #x^2#. Basically, make it negative: #-x^2#. To make it flip exactly, multiply the function by #-1#.

So now we've got #f(x)=-x^2-4x-4#
This will open downward, and you've flipped it.
graph{-x^2-4x-4 [-10, 10, -5, 5]}