Question

Which of the following identifies the quadratic function that is related to the square root function m (x) = (√x-2) +4 (m (x)
?(1 point)
Responses

n(x)=(x−4)2+2

n left parenthesis x right parenthesis equals left parenthesis x minus 4 right parenthesis squared plus 2

n(x)=14x2+2

n left parenthesis x right parenthesis equals Start Fraction 1 over 4 End Fraction x squared plus 2

n(x)=4x2+2

n left parenthesis x right parenthesis equals 4 x squared plus 2

n(x)=(x+4)2−2

Answer 1

n(x) = (x − 4)^2 + 2

Reason: Let y = √(x − 2) + 4. Solve for x: y − 4 = √(x − 2) → (y − 4)^2 = x − 2 → x = (y − 4)^2 + 2. Renaming y to x gives n(x) = (x − 4)^2 + 2.