The perimeter is 16.2. Let me know if you need me to show you how I got this
Step-by-step explanation:
We have the original equation n ^ 2 + 5 * n - 24, when factoring we have:
(n + 8) * (n - 3)
Now by replacing the values:
n = 0
0 ^ 2 + 5 * 0 - 24 = - 24
(0 + 8) * (0 - 3) = - 24
n = 1
1 ^ 2 + 1 * 0 - 24 = - 18
(1 + 8) * (1 - 3) = -18
n = 2
2 ^ 2 + 5 * 2 - 24 = - 10
(2 + 8) * (2 - 3) = - 10
n = 3
3 ^ 2 + 5 * 3 - 24 = 0
(3 + 8) * (3 - 3) = 0
n = 4
4 ^ 2 + 5 * 4 - 24 = 12
(4 + 8) * (4 - 3) = 12
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Answer:
To create function h, function f was translated 2 units to the right, translated 4 units down and reflected across the y-axis.
Step-by-step explanation:
Since f(x) = x^3 is transformed to h(x) = -(x+2)^3-4, by
1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.
2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give
f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.
3. We now reflect f'(x) across the y-axis by multiplying (x + 2)³ by -1 to get
h(x) = -(x + 2)³ - 4.