I'm just gonna make a very rough sketch, I have to go to work soon. But I missed one on my Pre-Calculus test and this is what happened.

We were to take the graph of y=âË†Å¡(x)

That's y equals the square root of x. We had to take the graph and do the following:

i. Shift it down 7 units

This makes is y=âË†Å¡(x)-7

ii. Shift it left 5 units.

Now we're at y=âË†Å¡(x+5)-7

iii. Reflect it over the y-axis

He says it should now be y=âË†Å¡(-(x+5))-7

I said that if we reflect it over the y-axis it should be like this with the equation y=âË†Å¡(-x+5)-7

His argument is that when when you move the graph of something the whole thing moves, including the axes. I was going by where the y-axis is, at x=0. All the points on my graph are reflected over that line. So am I right or no? If I want the point he wants me to argue with him before school tomorrow. We took about 10 minutes of class time discussing it.

This post has been edited by **H3 Proto**: 07 October 2009 - 06:43 PM