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Methods2024 Exam 2 Section A · Q13CAS active1 mark

Local minimum after dilation and translation

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The function $f:(0, \infty) \to R,\ f(x) = \frac{x}{2} + \frac{2}{x}$ is mapped to the function $g$ with the following sequence of transformations:

dilation by a factor of 3 from the $y$ -axis
translation by 1 unit in the negative direction of the $y$ -axis.

The function $g$ has a local minimum at the point with the coordinates

1 mark

A

(6, 1)

B

\left(\frac{2}{3}, 1\right)

C

(2, 5)

D

\left(2, -\frac{1}{3}\right)

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