Question

Question
Which of the following is the equation of the new function that is shifted horizontally 6 units to the left from f(x)=(x−2)3
?(1 point)
Responses

h(x)=(x+4)3
h left parenthesis x right parenthesis equals left parenthesis x plus 4 right parenthesi cubed

h(x)=(x−4)3
h left parenthesis x right parenthesis equals left parenthesis x minus 4 right parenthesi cubed

h(x)=(x−10)3
h left parenthesis x right parenthesis equals left parenthesis x minus 10 right parenthesi cubed

h(x)=(x−6)3
h left parenthesis x right parenthesis equals left parenthesis x minus 6 right parenthesi cubed

Answer 1

h(x) = (x + 4)^3

Reason: A horizontal shift left by 6 uses f(x+6). So h(x) = f(x+6) = ((x+6) − 2)^3 = (x+4)^3.