Question

Please help me solve this!!

Answer 1

Hello,
f(x)=x²+4x+10=x²+4x+4+6=(x+2)²+6
Vertex is (-2,6)

Answer 2

F(x) = ax² + bx + c

the vertex  (h; k) where $h=\dfrac{-b}{2a};\ k=f(h)$

f(x) = x² +4x + 10

a = 1; b = 4; c = 10

$h=\dfrac{-4}{2\cdot1}=\dfrac{-4}{2}=-2$

$k=f(h)=(-2)^2+4\cdot(-2)+10=4-8+10=6$

Answer: (-2; 6).