Question

Write an equation for each of these transformations.

A. Translate the graph of y= x^2 up 3 units.

B. Translate the graph of y=x^2 left 2 units and down 3 units.

Answer 1

If you want to translate f(x) or down k units, it's f(x)+k. If you want to move it to the left k units it's f(x+k) so A is:

`x^3+3`

and B is:

`(x+2)^2-3=x^2+4x+4-3=x^2+4x+1`