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3 years ago

Helppppp please !!!!

Mathematics

1 answer:

gtnhenbr [62]3 years ago

8 0

Step-by-step explanation:

the extreme values (minimum, maximum) of a function are the zero points of the first derivation of the function.

so,

f'(x) = 2x + b

and then

2x + b = 0

we know, x = 20 for the minimum

2×20 + b = 0

40 + b = 0

b = -40

therefore, the actual function is

f(x) = x² - 40x + 164

the target format is

f(x) = (x - h)² + k = x² - 2hx + h² + k

so,

-40x = -2hx

-40 = -2h

h = 20

and

h² + k = 164

20² + k = 164

400 + k = 164

k = -236

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