Answer:

Step-by-step explanation:
The parent function of this graph is:  y = sin(x)
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function:

- A = amplitude (height from the mid-line to the peak)
- 2π/B = period (horizontal distance between consecutive peaks)
- C = phase shift (horizontal shift - positive is to the left)
- D = vertical shift
The parent function y = sin(x) has the following:
- Amplitude (A) = 1
- Period = 2π
- Phase shift (C) = 0
- Vertical shift (D) = 0
- Mid-line:  y = 0
From inspection of the given graph:
- Amplitude (A) = 1
 
- Phase shift (C) = 0
- Vertical shift (D) = +3  (as mid-line is y = 3)

Substituting the values into the standard form:


Therefore, the equation of the given trigonometric graph is:

 
        
             
        
        
        
The new coordinates are (3, 1)
        
             
        
        
        
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
 The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
 ---->
 ---->  ----> equation A
 ----> equation A


 ----> equation B
 ----> equation B
Solve the system by substitution
substitute equation A in equation B
 
 
Solve for x
 
 
 
 
 
 

<em>Find the value of y</em>
 
 
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
 
        
             
        
        
        
Answer:
x=101
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer: 3x-5y=-9 is simplified to y=3/5x+9/5
x+2y=8 is simplified to y=-1/2x+4