Answer:

Step-by-step explanation:
The basic graph of y = Sin(x), starts at x = 0.
Looking at the graph, the basic sin curve starts at x = π/4
So this function is the parent sin function shifted π/4 units to the right.
<u>Note:</u>
y = Sin(x-a) is the parent function ( y= Sinx) shifted a units right
y = Sin(x+a) is the parent function shifted a units left
<em>Since this function is shifted </em>π/4 units right, the equation would be:
y = Sin (x-π/4)
The third answer choice is right.
We can see that g(1) = f(4).
So g(x) = f(4*x)
k is 4
If you add up all of the digits in the number, and if that number you get is able to be divided by 3, the original number is good to divide by 3.
For example: 618
You add 6+1+8 and get 15
Take 15 and divide by 3
You get a whole number, 5
Therefore, 618 can be divided by 3
Answer:
calculus, geometry, arithmetic among a few
Step-by-step explanation:
Mathematics is involved in winter Olympics in different aspects like arithmetic which helps in scores, measurements, quantities and motion of the sport like hockey, running.
Scoring in ice skating involves arithmetic operation when an individual element is assigned points and judged on performance level( triple axle is 3 points but overall performance and artistry is measured by the judges).
Another is Calculus which helps to understand the change in acceleration and velocities while each skaters start at zero then win, Lines in Geometry such as the finish/start/sight lines helps players with angles of reflection, measuring angles and angles of incidence.
The left 8 represents 8000 units.
The right 8 represents 8 units.
Their placement in the number is used to signify the multiplier for the number of units they represent. That is why the number system is called a "place value number system." Each time the digit is moved left one place, its value increases by a factor of 10.