f(x)=3x^2+2x write the equation that shift the graph of this curve two units vertically and 3 units to the right simultaneosly

Question

solomonzelman · Answer

vertical shift, lets take
$$f(x)=2x$$it will be$$f(x)=2x+a,~~~a~~units~~up$$$$f(x)=2x-a,~~~a~~units~~down$$$$f(x)=2(x+a),~~~a~~units~~Left$$$$f(x)=2(x-a),~~~a~~units~~Right$$

solomonzelman · Answer

in your case it will be a little different because it's cubic, let me think....

solomonzelman · Answer

quadratic not cubic....

solomonzelman · Answer

I think I was wrong about horizontal shift. http://www.purplemath.com/modules/fcntrans.htm it is added or subtracted from f(x) like f(x+a)

solomonzelman · Answer

$\color{black}{f(x)~=~3x^2~+~2x}$ $\color{red}{~+2~~~~~~~Vertical ~~~shift~~2~~~units~~~up.}$

solomonzelman · Answer

and$$f(x-3 )=3x^2+2x+2$$

solomonzelman · Answer

x-3 is a shfit to the right 3 units comparing to f(x)  (without 3 units to the right)

solomonzelman · Answer

$\huge\color{blue}{f~(x~\color{red}{-~3})~=~3x^2~+~2x~\color{red}{+~2})}$

anonymous · Answer

thanks u r so helpful!