The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1
Also, the angular frequency = 2π * 1/5π = 0.4
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
Find out more on equation at: brainly.com/question/2972832
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Answer: 1) Vertex: (6, -2) Focus: (6, -7/4) Directrix: y = -9/4
2) Vertex: (-2, -1) Focus: (-7/4, -1) Directrix: x = -9/4
<u>Step-by-step explanation:</u>
Rewrite the equation in vertex format y = a(x - h)² + k or x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.
- (h, k) is the vertex
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix

1) y = x² - 12x + 34


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2) x = y² + 2y - 1


<h3>
Answer: 35</h3>
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Explanation:
Check out the diagram below.
U is between T and V, and U is on segment TV. We can see that the smaller pieces TU and UV add back up to the largest segment TV
TU + UV = TV
17 + 18 = TV
35 = TV
TV = 35
Segment TV is 35 units long.
B
1/4 = 8/3 * x
X = 8/12
X= 2/3