<span>
If
you want to express the vertex form of an equation you have to know
that the vertex form of a parabola’s equation can be expressed as:
y = a(x - h)</span>²<span> + k. The way you know how the parabola will look like
is:
If
a is positive then the parabola opens upwards like a U.
If
a is a negative number, then the graph will open downwards like an
upside down U.
<span>
I
hope it helps, Regards.</span></span>
1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
Answer is $110.4080803 or $110.41 rounded
1: 2x-8 2: 6n-3 3:5y-10 4:
Use the formula for the area of a circle, which is pi*r^2
r=2, so pi*2^2=12.56
12.56+28 is 40.56 m^2
:)
