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jamesgotqui6
26.06.2021 •
Mathematics
The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?
g(x) = f(x) - 2
g(x) = f(x + 2)
g(x) = f(x) + 4
O g(x) = f(x-4)
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Ответ:
g(x) = f(x) - 2
g(x) = f(x + 2)
Step-by-step explanation:
y-intercept of a function:
The y-intercept of a function is the value of y when x = 0.
Function f:
Graph given in this question
When
, so the y-intercept is 6.
Additionally, when![x = -2, y = 4](/tpl/images/1384/4098/773e8.png)
If g has a y-intercept at 4, which of the following functions could represent g?
Either we subtract 2 from f, that is:
Or we can also add 2 on the domain, that is, moving 2 units to the right, so:
So the first two options are correct.
Ответ:
and the second one is the sames as it does not simplify =233