The position of the figure changes because you are translating it. Meaning that you are moving it.
Answer:
14.625
Step-by-step explanation:
i believe this is the answer all you do is so
78/5.3
Due to <em>length</em> restrictions, we kindly invite to check the explanation of this question to understand the derivation of the <em>polynomic</em> expressions.
<h3>How to determine a family of cubic functions</h3>
<em>Cubic</em> functions are polynomials of grade 3. In this case, we have pairs of <em>cubic</em> functions of the following form:
y = (x - h)³ + k (1)
y = - (x - h)³ + k (2)
a) Where (h, k) are the coordinates of the vertex of each <em>cubic</em> function. There is a translation of (x, y) = (3, 1) between each two <em>consecutive</em> pairs of <em>cubic</em> functions. Hence, we have the following fourteen cubic functions:
- y = (x + 9)³ - 3
- y = - (x + 9)³ - 3
- y = (x + 6)³ - 2
- y = - (x + 6)³ - 2
- y = (x + 3)³ - 1
- y = - (x + 3)³ - 1
- y = x³
- y = - x³
- y = (x - 3)³ + 1
- y = - (x - 3)³ + 1
- y = (x - 6)³ + 2
- y = - (x - 6)³ + 2
- y = (x - 9)³ + 3
- y = - (x - 9)³ + 3
b) Another family of functions with a similar pattern is shown below:
- y = (x + 9)² - 3
- y = - (x + 9)² - 3
- y = (x + 6)² - 2
- y = - (x + 6)² - 2
- y = (x + 3)² - 1
- y = - (x + 3)² - 1
- y = x²
- y = - x²
- y = (x - 3)² + 1
- y = - (x - 3)² + 1
- y = (x - 6)² + 2
- y = - (x - 6)² + 2
- y = (x - 9)² + 3
- y = - (x - 9)² + 3
To learn more on cubic functions: brainly.com/question/25732149
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Answer:
5, 5, 8, 8, 9, 0, 0, 3, 3, 9, 1, 5
Step-by-step explanation:
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Answer:
y = 7x - 140
The slope is 7
The y-intersept is -140
= (7, -140)
Step-by-step explanation:
y + 14 = 7(x - 18)
y + 14 = 7x - 126
y =7x - 126 - 14
y = 7x - 140
