Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
Answer:
0.0066%
Step-by-step explanation:
Answer:
b=-8
Step-by-step explanation:
Sorry I don't have time to show work right now and write it down but this is the answer.
Answer: y=12 x =9
Step-by-step explanation:
In a parallelogram the diagonals bisect each other making them equal.
this means 2y + 6 = 30
we can rearrange this as 30 - 6 = 2y
24 = 2y therefore y = 12
3x - 3 = 24
We can rearrange this as 24 + 3 = 3x
3x = 27
27 / 3 = 9
x = 9
Hope this helped :)
Can you please give me brainiest :D
