Given f(x)=x^2+4x+7 .

what equation shows function f written in vertex form?

a) f(x)=(x+2)^2+3

b)f(x)=(x+4)^2+11

c) f(x)=(x+3)^2+7

d) f(x)=(x+4)^2−7

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given