Given:
The graph of function g(x) is a transformation of the graph of function f(x) = x²
As shown: the graph of g(x) is open down
So, we will reflect f(x) over the x-axis, the function will be ⇒ -x²
And there is horizontal compression so, the factor of compression will be > 1
So, the function will be ⇒ -2x²
Finally, there is a vertical shift down 3 units
So,
Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation
As
so the standard deviation can be calculated as:
standard deviation
Therefore, the standard deviation will be: 2.1
