Answer:
J(-5,3) K(-1,-2) L(3,4)
Step-by-step explanation:
Reflections over the y axis make the x its opposite. 5 would change to -5, 1 would change to -1, and -3 would change to 3.
multiplying both sides by x^2
simplifying
dividing by 7
Answer:
6*4,2*12...
Step-by-step explanation:
24=6*4,2*12...
Answer:
80 liters
Step-by-step explanation:
24 liters is the difference between 2/5 full and 1/5 full.
Let x = number of liters in full tank.
2/5 x - 1/10 x = 24
4/10 x - 1/10 x = 24
3/10 x = 24
1/10 x = 8
x = 80
Answer: 80 liters
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
