3 years ago

ILL GIVE BRAINLIEST !!

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

Answer: 9^6/9

Step-by-step explanation:

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The quadratic function f(x)=ax^2+4x+c has a maximum at the point (1, 9) . What are the values of a and c?

valina [46]

Answer: a = -2 and c = 7

Step-by-step explanation:

(this answer uses some basic calculus)

We know that $f'(x) = 2ax + 4$ , and since $(1,9)$ is a maximum of $f$ , then $f'(1) = 0$ . That means $2a + 4 = 0$ , so $\boxed{a = -2}$ . Then since $f(1) = 9$ , we have $-2(1)^2 + 4(1) + c = 9$ , so $\boxed{c = 7}$ .

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