The axis of symmetry of g(x) is 2 units right side from the origin then the function is
. Then the correct option is A.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
The function f(x) is
.
The axis of symmetry of f(x) is left side by 3 units.
The axis of symmetry of g(x) is 5 units to the right of f(x).
Then the axis of symmetry of g(x) is 2 units right side from the origin.
Then the g(x) will be

Thus, the correct option is A.
More about the function link is given below.
brainly.com/question/14674614
<span>In order for an equation to have an infinite number of answers, the simplified equation should be x=x. In evaluating the above equation, -3 inserted in the box results in this simplified equation. The answer is therefor #1: -3</span>
Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;


∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;

Sinθ = sin(-53.13) = -0.799≈ -0.8.
Yes it is right that is the right one