Question

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

Answer 1

Answer:

f(x) = 4x² + 48x + 149

Step-by-step 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

Answer 2

Answer:

$f(x)=4x^{2} +149$

Step-by-step 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:

$f(x)=4x^{2} +149$