Answer:
Step-by-step explanation:
Let
s -----> the number of stamps
w ----> the number of weeks
we know that
The linear equation that represent this situation is
----> equation of the line into slope intercept form
where
the slope m is equal to
the y-intercept b is equal to ---> (the initial value)
The transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The options are missing.
The options are:
A. G(x) = 4x²
B. G(x) = -(1/4)x²
C. G(x) = -4x²
D. G(x) = (1/4)x²
We have an equation of a function F(x)
F(x) = x²
The transformation F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x)
To stretch vertically if the function is multiplied by a constant value
f(x) = ax²
To flip over the x-axis if multiply by negative value.
g(x) = -ax²
From the options
G(x) = -4x²
Thus, the transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.
Learn more about the function here:
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Answer:
About 0.559 seconds
Step-by-step explanation:
The height equation is:
Where is the initial height of the book, which is 5, so we can write:
Now, we want time it took for the book to reach ground (h = 0)
So, we substitute h = 0 and solve for t:
It took about 0.559 seconds for the book to reach the ground