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Enter the correct answer in the box. What is the standard form of function

Enter the correct answer in the box. What is the standard form of function-example-1
User Scott Yang
by
5.9k points

2 Answers

5 votes

Answer:

f(x) = 4x² + 48x + 149

Explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand (x + 6)² using FOIL

= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

= 4x² + 48x + 144 + 5 ← collect like terms

= 4x² + 48x + 149 ← in standard form

User Andrew Coates
by
6.5k points
7 votes

Answer:


f(x)=4x^(2) +149

Explanation:

Start off by writing the equation out as it is given:


f(x)=4(x+6)^(2) +5

Then, get handle to exponent and distribution of the 4 outside the parenthesis:


f(x)=4(x^(2) +36)+5\\f(x)=4x^(2) +144+5

Finally, combine any like terms:


f(x)=4x^(2) +149

User Noamk
by
6.6k points
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