The equation of a parabola in its vertex form is y=a(x-h)²+k, <span>where (h, k) is the </span>vertex<span> of the </span>parabola<span>.
in this case, h=3, k=-2, so y=a(x-3)-2
plug (4,3) in the equation: 3=a(4-3)</span>²-2, a=5
so the coefficient of the squared expression is 5.
Answer:
62.2%
Step-by-step explanation:
We are told in the question that:
The total number of students going = 45 students
The number of year 8 students going for the ski trip = 28 students
The proportion is :
28/45
Converting this proportion to a percentage.
28/45 × 100
= 0.6222222222222222 × 100
62.222222222%
Approximately to 1 decimal place is
62.2%
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That means f(x)=kx²
so
f(5)=75=5²k
solve for k
75=5²k
75=25k
divide by 25
3=k
f(x)=3x² is da equation
so
f(4)=3(4)²
f(4)=3(16)
f(4)=48
C is answer
Answer:
k = - 4
Step-by-step explanation:
The equation that represents direct proportion is
y = kx ← k is the constant of proportion
To find k use any ordered pair from the table.
Using (2, - 8 ) , then
- 8 = 2k ( divide both sides by 2 )
k = - 4