ummm... math help please...

[BigToque]

Ok, I never took pre-calc in high school, so now in university, I'm taking a class that will give me the grade 12 equivelent of pre-calc so I can take Calc next semester. The final test is tomorrow and I've been studing for a while and have most things down. The only things I'm not totally clear on is:

Conics, Logs/Exponents and one question about functions that I have from a practice exam...

Any ideas on where to get some simple explanations of these things? I've been going through the text and it sort of makes sense, but any help would be appreciated.

Anyway, the question from the practice exam is talking about functions:

(2pts out of 100) How does the graph of f(-x) - 2 compare to the graph of f(x)

I know that in f(x) the slope is 1 and the Y/X intercepts are at (0,0).

In f(-x) - 2, the graph shifts down by 2. The Y-intercept is at -2 and the X-intercept is at -2

How do I say that the -x part flipped the graph then got shifted down?

 

[BigToque]

bumpitybumpbump

 

[Renob]

2+2=4 I hope that helps.

 

[MrDingleDangle]

how about...the graph got flipped and the shifted down 2?

u might add it got flipped over the yaxis

 

[nccr]

I guess the correct way to say it is that f(-x) reflected the graph about the y-axis and the -2 translated the graph down 2 units.

 

[Logix]

Here are some basics:

f(-x) = Graph of f flipped about the y-axis.
-f(x) = Graph of f flipped about the x-axis.
f(x) + 2 = Graph of f shifted 2 units to the LEFT.
f(x + 2) = Graph of f shifted 2 units upward.

Check out this site for more math help. Looks like a pretty decent site.

 

[goodoptics]

Actually,
f(x) + 2 = Graph of f shifted 2 units upward .
f(x + 2) = Graph of f shifted 2 units to the left .