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:
1*86
2*43
Step-by-step explanation:
I memorized them lol or u can just devide 86 by 2 if the number is without points the 86 has to be a prime number of 2
When we have a coat with a 20% discount we only pay the remaining 80%.
This 80% equals £220
The original price was 100%
First we find out the value of 1%:
220 / 80 = £2.75
Finally we want to know the total 100% so find multiply our 1% by 100
£2.75 * 100 = £275
So the original price was £275
Answer:
b
Step-by-step explanation:
2 times x is 6 so the first number has to be a 3
Answer:
1
Step-by-step explanation:
When you are rounding the the nearest place it will no matter always be 1 place
