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1 year ago

Re-write the quadratic function below in Standard Form y=-5(x+1)²+7

Mathematics

2 answers:

Arturiano [62]1 year ago

7 0

Answer:

y = - 5x² - 10x + 2

Step-by-step explanation:

y = - 5(x + 1)² + 7 ← expand (x + 1)² using FOIL

= - 5(x² + 2x + 1) + 7 ← distribute parenthesis by - 5

= - 5x² - 10x - 5 + 7 ← collect like terms

= -5x² - 10x + 2 ← in standard form

julsineya [31]1 year ago

3 0

Answer: y = -5x² - 10x + 2

Step-by-step explanation:

Given quadratic function

y = -5 (x + 1)² + 7

Given requirement

Quadratic Standard Form: y = ax² + bx + c

Simplify the exponents

y = -5 (x + 1) (x + 1) + 7

y = -5 (x² + x + x + 1) + 7

y = -5 (x² + 2x + 1) + 7

Expand the parenthesis by distributive property

y = (-5) · x² + (-5) · 2x + (-5) · 1 + 7

y = -5x² + (-10x) + (-5) + 7

y = -5x² - 10x - 5 + 7

Combine like terms

$\Large\boxed{y=-5x^2-10x+2}$

Hope this helps!! :)

Please let me know if you have any questions

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Anna007 [38]

Answer:

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Step-by-step explanation:

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3 years ago

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strojnjashka [21]

Ok, 65% of the attendants were men, 25% were women.

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3 years ago

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andriy [413]

Answer:

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Step-by-step explanation:

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denis-greek [22]

Answer:

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Step-by-step explanation:

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square root both sides

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Now the side a of the triangle is also a side of the small square therefore

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