Determine whether the following procedure is a binomial experiment.
1 answer:
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Given:
The function is:
To find:
Express the quadratic equation in the form of , then state the minimum or maximum value,axis of symmetry and minimum or maximum point.
Solution:
The vertex form of a quadratic function is:
...(i)
Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.
We have,
It can be written as:
Adding and subtracting square of half of coefficient of x inside the parenthesis, we get
...(ii)
On comparing (i) and (ii), we get
Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.
Maximum value = 10.125
Axis of symmetry :
Maximum point = (1.75,10.125)
Therefore, the vertex form of the given function is , the maximum value is 10.125, the axis of symmetry is
and the maximum point is (1.75,10.125).
You did not attach any picture to solve this problem. We cannot calculate for the value W’X’ without the correct illustrations. However, I think I found the correct one (see attached), please attach it next time.
So the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor to use is:
dilation factor = 1.5 / (1.5 + 7.5) = 1.5 / 9 = 1/6
Since WX has an initial measure of 3 units, therefore the measure of W’X’ is:
W’X’ = 3 units * (1/6) = 0.5 units
Answer:
<span>0.5 units</span>
