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# C1......Sketching curve? Watch

1. in section 4.5
i cant understand the f(x) translation
f(X+a) and
f(X)+a
2. If its inside the brackets it affects the x-axis and if its outside the brackets then it affects the y-axis.
3. f(X+a) :
This will translate the curve by a units in the negative x direction. <
For the curve to shift to the positive direction > , then it will be f(x-a) .

f(X)+a
This is for the Y direction shift, ie it'll move the curve up/down. If its positive , it'll move up, negative move down.
4. f(x+a) is a translation of -a in the x direction. Think of it as the translation affecting the x values, not the y values. If you had y=f(x), f(x+3) would be the f(x) translated 3 units to the left. f(x-3) would be f(x) translated 3 units to the right.

f(x)+a is a translation of a along the y axis. Only the y values are being affected here. If you had f(x), f(x)+3 would be f(x) moved up 3. If you had f(x), f(x)-3 would be f(x) moved down 3.
5. (Original post by reb0xx)
in section 4.5
i cant understand the f(x) translation
f(X+a) and
f(X)+a
f(x+a) - left shift by a units
f(x) + a - upwards shift by a units

Plotting some graphs should help you understand why they are what they are. Take f(x)=x^2
6. (Original post by Gelato)
f(X+a) :
This will translate the curve by a units in the negative x direction. &lt;
For the curve to shift to the positive direction &gt; , then it will be f(x-a) .

f(X)+a
This is for the Y direction shift, ie it'll move the curve up/down. If its positive , it'll move up, negative move down.
thx
7. (Original post by reb0xx)
in section 4.5
i cant understand the f(x) translation
f(X+a) and
f(X)+a

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