Fill in the blanks to correctly complete the sentence below

Fill in the blanks to correctly complete the sentence below. The graph of y = 8 + 6 cos(x+ 4pi/5) is obtained by shifting the graph of y = cos x unit(s) horizontally to the, stretching it vertically by a factor of, and then shifting it unit(s) vertically.

Solution

y=8+6cos(x+4pi/5)

the parent function is y=cos x

And because of the addition of 4pi/5,the graph will shift horizontally towards left by 4pi/5 units. And 6 is at the outside of the parent function and because of it,graph stretches vertically by a factor of 6. And 8 is in addition with the function and because of that graph will shift 8 units upwards.

Therefore the transformation is ,shifting horizontally in the left side by 4pi/5 units,stretches vertically by a factor of 6 and shifting upwards by 8 units