The radical function f(x) = (4 / 5) · √[5 · (x + 5)] - 2 is represented by the graph.
What function does the figure represent?
In this problem we find the graph of a radical function with two kinds of translation, a horizontal one and a vertical one. Then, the function has the following form:
f(x) = √[A · (x - B)] + C
Where:
- A - Stretch factor.
- B - Horizontal translation factor.
- C - Vertical translation factor.
If we know that B = - 5, C = - 2 and (x, y) = (0, 2), then the stretch factor is:
2 = √[A · (0 + 5)] - 2
4 = √(5 · A)
16 = 5 · A
A = 16 / 5
Then, the radical function is:
f(x) = √[(16 / 5) · (x + 5)] - 2
f(x) = (4 / 5) · √[5 · (x + 5)] - 2
The function of the graph is f(x) = (4 / 5) · √[5 · (x + 5)] - 2.
To learn more on radical functions: https://brainly.com/question/9132232
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