Question

Which of the following correctly identifies the quadratic function that is related to the square root function k(x)=5x−−√
?(1 point)
Responses

m(x)=15x2

m left parenthesis x right parenthesis equals Start Fraction 1 over 5 End Fraction x squared

m(x)=5x2

m left parenthesis x right parenthesis equals 5 x squared

m(x)=25x2

m left parenthesis x right parenthesis equals 25 x squared

m(x)=125x2

Answer 1

m(x) = (1/5)x^2.

Reason: Let y = √(5x). Swap x and y to get x = √(5y). Square both sides: x^2 = 5y, so y = (1/5)x^2. Thus the inverse quadratic is m(x) = (1/5)x^2.