The graph represents a transformation of f(x) = x^2 .Which transformation took place ?

Question

A)f(6-x)

B)f(x)+6

C)6f(x)

D)f(x-6)

Answer 1

f(x) = x^2 is an upward opening parabola with vertex at the origin

for 6x^2 C is correct with 6f(x), which is an upward opening parabola with vertex at the origin, but stretched vertically by a factor of 6

for x^2 +6 B is correct with f(x) + 6 is an upward opening parabola with vertex at (0,6)

for (x-6)^2 = x^2 -12x +36 D is correct with f(x-6) is an upward opening parabola, shifted right by 6 units, with vertex = (6,0)

otherwise A is correct if there is a correct answer among the 4 options