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

Eric Michael

Today, 02:01

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.

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Answers (1)

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Buckley · 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