Question

The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?

A. g(x) = (x + 6)2 - 5

B. g(x) = (x - 5)2 + 6

C. g(x) = (x - 6)2 + 5

D. g(x) = (x + 5)2 - 6

Answer 1

Translation on the y axis is easy to get. +1 goes up a y and -1 goes down a y. The x axis is odd. A +1 makes the x go left, and -1 makes it go right. If that is not a big enough hint, this talks about it more:
http://www.purplemath.com/modules/fcntrans.htm

Answer 2

that doesnt make any sense .-.

Answer 3

Which is what I hate about translations. They do not always make sense. But in f(x)=whatever, the f(x) part is the y. So if you add anything to the right, y goes up. If you subtract anything frm the right, y goes down.
The x part is odd because it is the old solve for x thing. So the (x+b) would be solved for x, so x=-b. That is what makes it go the opposite direction.

Answer 4

With just that, what do you think the answer is? I'll help clarify if you can't get it now.

Answer 5

honestly. i have no idea. math makes me cry. im guessing now .-.

Answer 6

One reason I like math is that if you know all the rules, there IS an answer. Alaways. The answer may be that something is undefined, but it is always there. Now, back to yours. so we have:\[f(x)=x^2\]
By what I said, the yp down matchs and the left right is backwards. So down 5 is -5 in the y, and left 6 is +6 in the x. Where would you put those?

Answer 7

i guessed A and got it right. sorry i just really suck at math and ill seriously never understand it no matter how someone puts it >.>

Answer 8

Yes, it is A. And I think that the #1 problem in understanding math is that even if you get an A you can miss things. Eventually what you missed will come up and get you a mistake. That happens to everyone. I have taken Calculus and am in Linear Algebra, and I have As, but every little thing I have missed causes me to make mistakes.