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
One yard is 0.0005 miles,
548 * 0.0005 = 0.274,
So the answer is 0.274 miles.
Hope this helps.
Answer:
A and D
Step-by-step explanation:
yes
Answer:
169
Step-by-step explanation:
Square root means what number times its self is a different number. In this case, 13 times 13 = 169 so 13 times itself is 169.
Answer:
48 Miles
Step-by-step explanation:
I assume you are asking for the distance in miles between the two cities.
1 Inch = 8 Miles,
Then 6 Inches = 8 Miles * 6
If the cities are 6 inches apart, the actual distance is 48 miles.