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BraedynM7866
21.01.2020 •
Mathematics
Concide the following functions: f (x)=x^2+10x+29. write function form of
f (x)=a (x-h)^2+k. where a,h and k are constants. then find minimum or maximum. and you.
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Ответ:
y = x² + 10x + 29
y - 29 = x² + 10x
y - 29 + 25 = x² + 10x + 25
y - 4 = x² + 5x + 5x + 25
y - 4 = x(x) + x(5) + 5(x) + 5(5)
y - 4 = x(x + 5) + 5(x + 5)
y - 4 = (x + 5)(x + 5)
y - 4 = (x + 5)²
y = (x + 5)² + 4
f(x) = (x + 5)² + 4
Minimum:
Maximum:
f(x) = (x + 5)² + 4
y = (-5 + 5)² + 4
y = (0)² + 4
y = 0 + 4
y = 4
The local maximum value of the function is located at x = -5.
Ответ:
2 2/3
Step-by-step explanation:
-2 1/3-(-5)
-7/3-(-5)
8/3
2 2/3