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:
12 cm of coastline
Step-by-step explanation:
Multiply the years (factor) by the receding amount, 3cm, (constant) BAM answer.
The length of tom's block on his map is 11.25 inches
Answer:
height for the building = 551.8 ft
Step-by-step explanation:
The info given describes the shape of a right triangle.
Thus:
Reference angle = Angle of elevation = 23°
Opposite side = height of the building = ?
Adjacent side = 1,300 ft
Apply trigonometric function, TOA:
Tan 23 = Opp/Adj
Tan 23 = Opp/1,300
1,300 × Tan 23 = Opp
551.817261 = Opp
Opp ≈ 551.8 ft
height for the building = 551.8 ft
