Solve for the x-max or h :\
plug it in to equation to get k:/
-8+16+3=11=k
solve for a by pluging (0,0)
then a= -11/4
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:
C
Step-by-step explanation:
-1.5x=-2.55
1.5x=2.55
x=2.55/1.5
x=1.7
Answer:
(k•h)(x) is 5/x + 1
Step-by-step explanation:
(k•h)(x) is the product of the functions h(x) = 5 + x and k(x) = 1/x.
This product (k•h)(x) is 5/x + 1
