Respuesta :
Answer:
The equation g(x) = 2(x+4)² +3
(h,k) = (-4,3) and a = 2
Step-by-step explanation:
Step(i):-
Given equation g(x) = 2 x² + 16 x +35
g(x) = 2(x² +8 x ) +35
g(x) = 2(x² +2(4) (x ) +(4)² -(4)²)+35
we know that (a+b)² = a²+2ab+b²
Step(ii):-
g(x) = 2( x+4)² - 2(16) +35
⇒ g(x) = 2(x+4)² - 32 +35
⇒ g(x) = 2(x+4)² +3
comparing g(x) = a (x-h)² +k
(h,k) = (-4,3) and a = 2
Final answer:-
The equation g(x) = 2(x+4)² +3
(h,k) = (-4,3) and a = 2
