Question

Given, f(x) = x²,describe the transformation of f(x) to f (x - 1) + 4 using key features of the graph.

Answer 1

The transformation can be written as follows:

The x values will be shifted 1 unit to the right and the y values will be shifted 4 unit upwards.

This is the transformation of

$f(x)=x^2\rightarrow(x-1)^2+4_{}$

We can see above the transformation graphically.