Higher November 2018 Unit 1 Q18

18. The graph shows a sketch of the curve with equation \(y = x^2 + 2\).
The lowest point of the curve has coordinates (0, 2).

On the same axes, sketch the graph of the curve with equation \(y = (x - 4)^2 + 2\).
Indicate clearly the coordinates of the lowest point on the new curve. [2]