Review the given functions. j times x is equal to 51 cosine open paren x plus pi over 2 close paren plus 24 k times x is equal to 51 cosine open paren x minus 3 pi over 4 close paren plus 24 What is the transformation of function j times x to function k times x ?
Answer
A
a shift left pi over 4 units
B
a shift left 5 pi over 4 units
C
a shift right 5 pi over 4 units
D
a shift right pi over 4 units
Explanation
A shift right by h replaces x in j(x) with x − h. Using h = 5π/4 gives j(x − 5π/4) = 51 cos(x − 5π/4 + π/2) + 24 = 51 cos(x − 3π/4) + 24, which is k(x). So the transformation is a shift right 5π/4 units.
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