Write, in the form , the function that results when is transformed…

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Write, in the form

y = \frac{ax+b}{cx+d}

, the function that results when

y = \frac{1}{x}

is transformed by: (1) a a vertical dilation with scale factor

\frac{1}{2}

(2) b a horizontal dilation with scale factor 3 (3) c a horizontal translation of

-3

(4) d a vertical translation of 4.