Question

Various transformation help??? Check my answer?

State the various transformations applied to the base function f(x) = x^2 to obtain a graph of the function g(x) = - (2x)^2 - 1


(A) A horizontal compression by a factor of 1/2, a reflection about the x-axis, and a vertical shift downward of 1 unit.

(B) A horizontal compression by a factor of 1/2, a reflection about the x-axis, and a vertical shift upward of 1 unit.

(C) A horizontal compression by a factor of 2, a reflection about the x-axis, and a vertical shift downward of 1 unit.

(D) A horizontal compression by a factor of 1/2, a reflection about the x-axis, and a vertical shift downward of 1 unit.

Answer 1

Right now I think my answer is C, the only thing I think I can be certain of right now is that there will be a vertical shift downward, can anyone confirm?

Answer 2

(C) is correct. :)