The equation of the function is y = sec(2(x + π/6)) + 2
<h3>How to determine the equation of the function?</h3>
The graph that completes the question is added as an attachment
From the attached graph, we have the following parameters:
- Local maximum = 3
- Local minimum = 1
- Period = 2
- Phase shift = π/6
A secant function is represented as:
y = A sec(b(x + c)) + d
Where:
A = 0.5 * (max - min) = 0.5 * (3 - 1) = 1
b = Period = 2
c = Phase shift = π/6
d = 0.5 * (max + min) = 0.5 * (3 + 1) = 2
Substitute these values in y = A sec(b(x + c)) + d
y = 1 * sec(2(x + π/6)) + 2
Evaluate
y = sec(2(x + π/6)) + 2
Hence, the equation of the function is y = sec(2(x + π/6)) + 2
Read more about secant function at:
brainly.com/question/13276558
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Answer:
1.5
Step-by-step explanation:
Answer:
y= 6
Step-by-step explanation:
1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2
2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12
-14 -14
3. Subtract 3y from both sides: y=3y-12-> y-3y= -12
-3y -3y
4. Combine like terms: y-3y= -12-> -2y= -12
1-3 keep the y
5. Divide both sides by -2: -2y= -12-> y= 6
/2 /2
6. So, you're left with y= 6
<span>91+ (-7) -5
Add -7 to 91. This would be the same as subtracting 7 from 91
84-5
Subtract
Final Answer: 79</span>
we know that
To find the equation in vertex form, we need to factor the function
so
Complete the square. Remember to balance the equation
Rewrite as perfect squares
in this problem
the vertex is the point
therefore
the answer is
The function written in vertex form is equal to