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This is probably really simple but it seems to be confusing me and I was wondering if someone could clarify if I am correct as to the use of f(x) please.

If you have an equation, say y=6x

^{2}+3x+4, does this equation then become f(x) so that y=f(x) and f(x) = 6x

^{2}+3x+4? Also, if you put a number into the brackets, does this mean that you replace the x's with this number? E.g. if the above equation became y=f(2), would this then mean that y = 6 * 2

^{2}+3*2+4 and y=f(2) would therefore = 34?

Thanks