If Lylah completes the square for f (x) = x 2 + 24x - 18 in order to find the minimum, she must write f (x) in the general form f (x) = (x - a) ^2 + b. What is the value of b for f (x) ?

Explain (tell me word for word how you arrived at the answer above, include screenshots if necessary) how you found the solutions in detail.

Question

Mathematics

Tessa Cannon

24 December, 20:40

If Lylah completes the square for f (x) = x 2 + 24x - 18 in order to find the minimum, she must write f (x) in the general form f (x) = (x - a) ^2 + b. What is the value of b for f (x) ?

Explain (tell me word for word how you arrived at the answer above, include screenshots if necessary) how you found the solutions in detail.

+2

Answers (1)

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Roland · Answer 1

Step-by-step explanation:

F (x) = (x - a) 2 + b

Rewrite the equation as (X-a) 2 + b = f (X) (X-a) 2 + b = f (X) subtract (x-a) ^2 from both sides of the equation b=f (x) - (x-a) ^2