Review the given functions. j (x) = 51 cosine (x + StartFraction pi Over 2 EndFraction) + 24 k (x) = 51 cosine (x minus StartFraction 3 pi Over 4 EndFraction) + 24 What is the transformation of function j(x) to function k(x)? a shift left StartFraction pi Over 4 EndFraction units a shift left StartFraction 5 pi over 4 EndFraction units a shift right StartFraction pi Over 4 EndFraction units a shift right StartFraction 5 pi over 4 EndFraction units

j(x) is shifted right by units

Step-by-step explanation:

Given

Required

Determine the transformation from j(x) to k(x)

The transformation shows a horizontal shift from j(x) to k(x).

First, we need to determine the unit shifter from j(x) to k(x) as follows;

Express as

So:

becomes

Reorder

Comparing this to k(x), we have:

In other words:

This implies that j(x) is shifted right by units

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.