Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is

Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
Answer:
x=-6
×=1
Step-by-step explanation:
remove parentheses
connect like terms
change the signs
calculate the discriminant
simplify
Red has a greater value.
Blue = -2
Red = 3
To answer this question we will have to understand the nature of
.
can be rewritten as:
. Now,
is an irrational number and thus any of the four operations of addition, multiplication, subtraction or division placed anywhere between any of these terms will always result in an irrational number.
The only way irrational numbers can be made rational is by dividing or multiplying the given irrational number by the same irrational number.