Respuesta :
Write f(x) = 2x2 – 44x + 185 in vertex form.
To write f(x) = 2x2 – 44x + 185, factor out
2
from the first two terms.
Next, form a perfect square trinomial keeping the value of the function equivalent:
f(x) = 2(x2 – 22x + 121) + 185 – 242
The function written in vertex form is f(x) =
2
(x –
11
)2 +
-57
.
To write f(x) = 2x2 – 44x + 185, factor out
2
from the first two terms.
Next, form a perfect square trinomial keeping the value of the function equivalent:
f(x) = 2(x2 – 22x + 121) + 185 – 242
The function written in vertex form is f(x) =
2
(x –
11
)2 +
-57
.
Answer:
f(x) = 2(x-11)^2 - 57
Step-by-step explanation:
To write f(x) = 2x^2 – 44x + 185, factor out from the first two terms.
Next, form a perfect square tri nomial keeping the value of the function equivalent: f(x) = 2(x^2 – 22x + 121) + 185 – 242
To get vertex form we factor x^2 -22x+121
product is 121 and sum is -22
-11*-11= 121 and sum -11+(-11)= -22
x^2 -22x+121
(x-11)(x-11)
f(x) = 2(x^2 – 22x + 121) + 185 – 242
f(x) = 2(x-11)(x-11)+ 185 – 242
f(x) = 2(x-11)^2 - 57
