3 years ago

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

Answer:

third option

Step-by-step explanation:

Given

f(x) = 40x + 5x² ← express in standard form

f(x) = 5x² + 40x ← factor out 5 from each term

f(x) = 5(x² + 8x)

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 8x

f(x) = 5(x² + 2(4)x + 16 - 16)

f(x) = 5(x + 4)² + 5(- 16)

f(x) = 5(x + 4)² - 80

andre [41]3 years ago

8 0

Answer:

3. f(x) = 5(x + 4)2 – 80

Step-by-step explanation:

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