Which function is equivalent to y=5(x+3)2−8?

y = 5x² + 1

y=5x2+6x−2

y = 5x² + 30x + 37

y = 5x² + 30x + 5

Answers

Answer 1

Answer:

y = 5x²+30x+37

=============================

1) squaring a binomial

[tex] \boxed{ (a+b) = a^2 + 2ab + b^2 }[/tex]

2) The distributive property

[tex] \boxed{ a(b+c) = ab+ac }[/tex]

============================

1) squaring a binomial

y = 5(x+3)² - 8

y = 5(x²+6x+9)-8

2) Distributive property

y = 5(x²+6x+9)-8

y = 5x²+30x+45-8

3) Finally

y = 5x²+30x+37


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math

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Answer:

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Answer:

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-------------------------------------------------------------------------------

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Formula

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Step-by-step explanation:


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Answer:

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Given:

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Answers

Hey there!

The answer to your question is [tex]4x^2+2x-2[/tex]

Given:

[tex]x^2-3x+7[/tex] [tex]and[/tex] [tex]3x^2 +5x-9[/tex]

First, we can start by adding like terms. The following are like terms:

[tex]x^2[/tex] [tex]and[/tex] [tex]3x^2[/tex]

[tex]-3x[/tex] [tex]and[/tex] [tex]5x[/tex]

[tex]7[/tex] [tex]and[/tex] [tex]-9[/tex]

Now, we can add these pairs together, giving us:

[tex]4x^2[/tex]

[tex]2x[/tex]

[tex]-2[/tex]

Now, add all this together, and we get our answer as:

[tex]4x^2 + 2x - 2[/tex]

Have a terrificly amazing day!

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