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
Start off by writing the equation out as it is given:
Then, get handle to exponent and distribution of the 4 outside the parenthesis:
Finally, combine any like terms:
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