The function f(x) is vertically compressed to form g(x) while the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
<h3>How to compare both functions?</h3>
The functions are given as
f(x) =x^2
g(x) =3x^2
h(x) = -3x^2
Substitute f(x) =x^2 in g(x) =3x^2 and h(x) = -3x^2
g(x) =3f(x)
h(x) = -3f(x)
This means that the function f(x) is vertically compressed to form g(x)
Also, the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
See attachment for the functions g(x) and h(x)
Also, functions f(x) and g(x) have the same domain and range
While functions f(x) and h(x) have the same domain but different range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
h(x) -12 -3 0 -3 -12
Read more about function transformation at:
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Answer:
k =
Step-by-step explanation:
The equation of proportionality has the form
y = kx ← k is the constant of proportionality
y = x ← is in this form
with k =
Answer:
The probability that X and Y are both positive and that their sum is less or equal to 1 0.64.
Step-by-step explanation:
It is provided that the random variables <em>X</em> and <em>Y </em>follows a standard normal distribution.
That is,
It is also provided that the variables <em>X</em> and <em>Y </em>are statistically independent of each other.
Compute the probability that X and Y are both positive and that their sum is less or equal to 1 as follows:
The mean and standard deviation of <em>X</em> + <em>Y</em> are:
The probability is:
*Use the <em>z</em>-table.
Thus, the probability that X and Y are both positive and that their sum is less or equal to 1 0.64.
Answer:
.6
Step-by-step explanation:
60/100 = .6
60 jiffies is 60% of 1 second