Function: Quarter Points of :

Using the coordinates of the five quarter points of y = sin x to determine the corresponding quarter points on the graph of the function above.

The quarter points are

pi /2,1

3 pi/4, 5

pi, 1

5 pi/4, -3

3 pi/2, 1

Step-by-step explanation:

We know that in

the coordinates are

0,0

pi/2,1

pi,0

3 pi/2,-1

2,0

Our function however is new which is

Our amplitude is 4 so let multiply the y values by 4.

0,0

pi/2, 4

pi,0

3 pi/2, -4

2 pi,0

Our period is pi now. Remeber that for later.

Our phase shift is pi/2 now so we would move this to the right.

Add pi/2 to the x values.

Translate the y values up 1.

pi/2,1

pi,5

3 pi/2, 1

2 pi,-3

5 pi/2, 1

The quarter points is the period divide by 4. the period is pi so

Keep pi/2, 1 and add pi/4 to the x values and keep the y value.

answer

you start with $5 and save $10 a week until you have at least $45wer

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,