The graph of the function 𝑦 = 𝑠𝑖𝑛𝑥 is transformed by vertically compressing it by a factor of 1/3, reflecting it in the x-axis, horizontally translating it 𝜋/2 units to the left and vertically translating it 15 units down. Write the equation of the resulting graph.

1 answer

vertically compressing it by a factor of 1/3
y = 1/3 sin(x)

reflecting it in the x-axis
y = -1/3 sin(x)

and so on
see what you can do with the rest.