Question

Write an equation for the translation of the function. y = cos x; translated 6 units up

Question 30 options:

y = cos x- ­ 6


y = cos(x ­ 6)


y = cos x + 6


y = cos(x + 6)

Answer 1

Your answer would be, y= cos(x)+6

Answer 2

`y=\cos x + 6`

Explanation:

We are given a cos x function. We need to find the function shift 6 units up.

Graph will shift 6 units up. So, all y value of function shift vertically up.

y=f(x)

If shift h and k horizontally and vertically respectively then y=f(x+h)+k

y=cos x

Shift h and k unit then new function

y=cos(x+h)+k <=> cos x + 6

Thus, C is correct option.