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