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Alisiya [41]
3 years ago
15

Write the quadratic function in standard form

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

Answer:

B. f(x) = x² + 10x + 17

Step-by-step explanation:

Given:

f(x) = (x + 5)² - 8

Required:

Write in standard form

SOLUTION:

f(x) = (x + 5)² - 8

Expand (x + 5)²

f(x) = (x + 5)(x + 5) - 8

f(x) = x(x + 5) +5(x + 5) - 8

f(x) = x² + 5x + 5x + 25 - 8

Add like terms

f(x) = x² + 10x + 17

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kykrilka [37]

Answer:

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Step-by-step explanation:

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3 years ago
I HAVE ONE WEEK OF SCHOOL CAN SOMEONE HELP?!
ira [324]

9514 1404 393

Answer:

  1. 5 seconds

  2. 4.5 seconds

Step-by-step explanation:

Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.

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1) y = -15x(x -5)

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<em>Additional comment</em>

The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...

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