The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have
Add and subtract 121, we have
![f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%28x%5E2%20-%2022x%20%2B121%20-%20121%20%29%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%5B%28x%5E2%20-%2011%29%5E2-121%5D%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%28x-11%29%5E2%20-%20242%20%2B%20185%5C%5C%5C%5Cf%20%28x%20%29%20%3D%202%28x-11%29%5E2%20-57)
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
brainly.com/question/2263981
Answer:
The equation given to us is in the Standard form
y
=
a
x
2
+
b
x
+
c
where
a
=
1
,
b
=
0
and
c
=
−
1
The Axis of Symmetry is given by the formula
x
=
−
b
2
a
x
=
−
0
2
⋅
1
x
=
0
is the Axis of Symmetry of the Parabola with the equation
y
=
x
2
−
1
Step-by-step explanation:
Divide 462 by 49 then you got your answer for Jack
Google how many feet are in a mile and take that amount of feet then divide it by 407 that’s your answer for Will
Divide 681 by 60 standing for 60 seconds in one minute then that’s your answer for Liz
Since they already gave you the answer to Jack see which amount is the highest
Hope this helped :)
Answer:
see below
Step-by-step explanation:
cos ( x+pi/2) = -sinx
We know that
cos(A + B) = cos A cos B - sin A sin B
Let x = A and pi/2 = B
cos x cos pi/2 - sin x sin pi/2 = -sin x
We know cos pi/2 = 0 and sin pi/2 = 1
cos x * 0 - sin x *1 = -sin x
- sin x = - sin x
