3. The graph of y = tanx is stretched with a factor 4 in the ydirection, and a factor 2 in the x-direction. What is the equation of
the resulting curve?
As the formula for any trigonometric function is calculated
through: 𝐴𝑠𝑖𝑛 𝑏𝑥 + 𝑐 + 𝐷, A is the amplitude, the period is
calculated by 𝜋/b. As the question states that the function y=tanx, c
and d are no longer required. As the question states that the
function is stretched by a factor of 4 in the y-direction, the
amplitude is affected, becoming greater by four:
y=4tanx
And as it has been stretched by a factor of 2 in the x-direction, the
period has doubled. Thus becoming:
1
𝑦 = 4𝑡𝑎𝑛 𝑥
2