Question

QUESTION 3 3.1 Consider the function $y = 2\tan x$ 3.1.1 Make a neat sketch of $y = 2\tan x$ for $0^\circ \le x \le 360^\circ$ on the axes provided on the DIAGRAM SHEET. Clearly indicate on your sketch the intercepts with the axes and the asymptotes. 3.1.2 If the graph of $y = 2\tan x$ is reflected about the x-axis and shifted downwards with one unit, write down the equation of the new graph obtained by this transformation. 3.2 The diagram below shows the graph of $g(x) = a \sin x$ for $0^\circ \le x \le 360^\circ$ 3.2.1 Determine the value of $a$. 3.2.2 If the graph of $g$ is translated 2 units upwards to obtain a new graph $h$, write down the range of $h$.

          QUESTION 3
3.1 Consider the function $y = 2\tan x$
3.1.1 Make a neat sketch of $y = 2\tan x$ for $0^\circ \le x \le 360^\circ$ on the axes
provided on the DIAGRAM SHEET. Clearly indicate on your sketch the
intercepts with the axes and the asymptotes.
3.1.2 If the graph of $y = 2\tan x$ is reflected about the x-axis and shifted
downwards with one unit, write down the equation of the new graph
obtained by this transformation.
3.2 The diagram below shows the graph of $g(x) = a \sin x$ for $0^\circ \le x \le 360^\circ$
3.2.1 Determine the value of $a$.
3.2.2 If the graph of $g$ is translated 2 units upwards to obtain a new graph $h$, write down
the range of $h$.

QUESTION 3
3.1 Consider the function y = 2tan x
3.1.1 Make a neat sketch of y = 2tan x for 0^∘≤ x ≤ 360^∘ on the axes
provided on the DIAGRAM SHEET. Clearly indicate on your sketch the
intercepts with the axes and the asymptotes.
3.1.2 If the graph of y = 2tan x is reflected about the x-axis and shifted
downwards with one unit, write down the equation of the new graph
obtained by this transformation.
3.2 The diagram below shows the graph of g(x) = a sin x for 0^∘≤ x ≤ 360^∘
3.2.1 Determine the value of a.
3.2.2 If the graph of g is translated 2 units upwards to obtain a new graph h, write down
the range of h.

Added by Donald B.

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