The histogram shows the distributions of essay scores for high school sophomores and juniors in a contest. Which comparison of t
he distributions is true? Both distributions are nearly symmetric. Both distributions are right-skewed. The distribution of sophomores’ scores is right-skewed, and the distribution of juniors’ scores is left-skewed. The distribution of sophomores’ scores is left-skewed, and the distribution of juniors’ scores is right-skewed.
2 answers:
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Answer:
I assume that the function is:
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
then:
Now we can graph this, to get the graph you can see below:
