A is incorrect. The identity is for the Sin( A - B). It is not for the Cos(A - B)
B is closer, but NOT the answer. The sign in the middle is incorrect, for one thing. For another Cos(pi/2) = 0,, so the answer would be cos(theta) using this formula.
C The sign is correct in C. The problem is that it is the wrong formula for Cos(theta - pi/2). C should go
Cos(theta - pi/2) = cos(theta) cos(pi/2) + sin(theta)*sin(pi/2)
D. Looks like it's the correct answer. See the comment for C: The identity for C is actually correct for D.
Cos(theta)cos(pi/2) = 0 because cos(pi/2) =0
Sin(theta)*sin(pi/2) = Sin(theta) because Sin(pi/2) = 1
Answer D <<<<<< answer.
Answer:
D. G(x) = |x| + 7
Step-by-step explanation:
→For the function G(x) to shift upwards, there needs to be a number being added to the whole function.
→The answer isn't "A," because the 1 is being subtracted, making it shift downwards 1 unit, not upwards.
→The answer isn't "B," because adding the 2 there would cause the function to shift to the left for 2 units, not upwards.
→The answer isn't "C," because 10 is being multiplied, which would cause the function to narrow, and not shift upwards.
<u>This means the correct answer is "D," because the 7 is being added, making the function shift upwards 7 units.</u>
