Question

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?

a vertical translation 1 unit up

a vertical translation 1 unit down

a horizontal translation 1 unit to the right

a horizontal translation 1 unit to the left

Answer 1

`f(x)=a(x-h)^2+k\ \text{where (h; k) are coordinates of the vertex}`



`f(x)=x^2-1\ \ \ vertex (0; -1)\\\\g(x)=(x-1)^2-1\ \ \ vertex(1;-1)`



Answer: a horizontal translation 1 unit right.