Question

How is the graph of f(x)=(x-3)^2 is related to the graph of f(x)=x^2?

Answer 1

Draw y = x² and shift it 3 units right.

`f(x)=(x-\boxed{3})^2`

`y=x^2\\\\for\ x=\pm2\to y=(\pm2)^2=4\to(-2;\ 4);\ (2;\ 4)\\for\ x=\pm1\to y=(-1)^2=1\to (-1;\ 1);\ (1;\ 1)\\for\ x=0\to y=0^2=0`

Look at the picture.