Question

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

Answer 1

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

Answer 2

`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`