alaina3792
05.07.2019 •
Mathematics
How do you solve this quadratic equation by completing the square?
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Ответ:
The answer would be 2 +/- √-2
Step-by-step explanation:
In order to complete the square, we have to start by getting all of the constants to the right side.
k^2 - 4k + 1 = -5
k^2 - 4k = -6
Now we need to take the k coefficient (-4) and cut it in half (-2). Now we square that number (4) and add it to both sides
k^2 - 4k + 4 = -6 + 4
k^2 - 4k + 4 = -2
Now we can factor the left side and solve.
(k - 2)^2 = -2 > take the square root of both sides
k - 2 = +/- √-2
k = 2 +/- √-2
Ответ:
Reflect across the y-axis, stretch the graph vertically by a factor of 3
Step-by-step explanation:
The question has certain errors, in fact the functions are the following:
g (x) = 3 * (2) ^ - x
f (x) = 2 ^ x
The transformation that we can do to obtain the translated graph, Are given in 2 steps, which are the following:
1. When x is replaced by -x, then it reflects the graph on the y axis.
2. 3 multiplies with the function, it means that it stretches the main function vertically in 3 units.
So to summarize it would be: Reflect across the y-axis, stretch the graph vertically by a factor of 3