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

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:
[tex]f(x)=4x^{2} +149[/tex]
Step-by-step explanation:
Start off by writing the equation out as it is given:
[tex]f(x)=4(x+6)^{2} +5[/tex]
Then, get handle to exponent and distribution of the 4 outside the parenthesis:
[tex]f(x)=4(x^{2} +36)+5\\f(x)=4x^{2} +144+5[/tex]
Finally, combine any like terms:
[tex]f(x)=4x^{2} +149[/tex]