The error bars are used to indicate the variability of the data presented in a graph.
There are several quantities that can be used to generate error bars in the graph. These are:
standard deviation
standard error
confidence interval
Usually, one standard deviation above and below the mean is used although it is advised to indicate which variability data is used to generate the error bars in the graph since the 3 quantity given are not equal.
Answer: = 8
Step-by-step explanation: Hope this help :D
Easiest way I could think of is choose a point in the gray area and use the X,Y to plug into the answers whichever one makes sense is correct.
First, we are going to find the vertex of our quadratic. Remember that to find the vertex
of a quadratic equation of the form
, we use the vertex formula
, and then, we evaluate our equation at
to find
.
We now from our quadratic that
and
, so lets use our formula:
Now we can evaluate our quadratic at 8 to find
:
So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is
The x-coordinate of the minimum is 8