Let x be the number of meters of a given number of inches. The equation that would be useful in the conversion is,
x = n / 39.37
where n is the number of inches. For 59 inches,
x = 59 in / 39.37
Thus, the number of meter is approximately equal to 1.499 meters.

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The illustration below shows the graphs of fourteen functions.

Travka [436]

Due to length restrictions, we kindly invite to check the explanation of this question to understand the derivation of the polynomic expressions.

<h3>How to determine a family of cubic functions</h3>

Cubic functions are polynomials of grade 3. In this case, we have pairs of cubic 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 cubic function. There is a translation of (x, y) = (3, 1) between each two consecutive pairs of cubic 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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1 year ago