At Jefferson Middle School, 3/5 of the students play a sport. Of those students, 1/3 play soccer. What equation can be used to f
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The value of k in the translated graph of f(x - h) + k is; k = 2
<h3>How to carry out Translations on Graphs?</h3>We are given the parent function of f(x) = x³.
Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;
The rule of translation is;
(x, y) → (x + 3, y + 2)
That means;
The translation is 3 units to the right and 2 units up
The equation of the translated graph is equal to;
f(x) = (x - 3)³ + 2
Thus;
The value of k is equal to 2.
Read more about Graph Translations at; brainly.com/question/4025726
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Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function is shown in the graph attached herein. (Correct choice: A)
<h3>How to determine a piecewise function</h3>
In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:
y = m · x + b (1)
Where:
- x - Independent variable.
- y - Dependent variable.
- m - Slope
- b - Intercept
By direct observation and by applying (1) we have the following <em>piecewise</em> function:
Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function is shown in the graph attached herein. (Correct choice: A)
To learn more on piecewise functions: brainly.com/question/12561612
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