Expansions and compressions are transformations that change the length or width of the graph of a function.
To graph y = a*f (x)
if a> 1, the graph of y = f (x) is expanded vertically by a factor a.
We have then:
f (x) = 2/5 x ^ 2-2
The function g (x) is a vertical stretch of f (x) by a factor of 2:
g (x) = 2f (x)
g (x) = 2 (2/5 x ^ 2-2)
g (x) = 4/5 x ^ 2-4
Answer:
The equation of g (x) is:
g (x) = 4/5 x ^ 2-4
Answer:
the answer is 2 1/3 or There is 2\frac{11}{14}\ cups needed to make every dozen of muffins.
Step-by-step explanation:
brainly.com/question/6703040
No, it doesn’t pass the line test
Answer:
(0.0757;0.1403)
Step-by-step explanation:
1) Data given and notation
Republicans =115
Democrats=331
Independents=54
Total= n= 115+331+54=500

Confidence=0.98=98%
2) Formula to use
The population proportion have the following distribution

The confidence interval for the population proportion is given by this formula

We have the proportion of independents calculated

We can calculate 
And we can find
, with this value we can find the critical value
using the normal distribution table, excel or a calculator.
On this case 
3) Calculating the interval
And now we can calculate the interval:


So the 98% confidence interval for this case would be:
(0.0757;0.1403)