Option d: reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.
Step-by-step explanation:
The parent function is 
The transformation function is 
In the transformed function, the function is added +2, which shifts the graph by 2 units up.
Also, the function is multiplied by 3, which stretches the function vertically by a factor of 3 units.
The variable x is multiplied by -1, such that the function reflects across y-axis.
Thus, the correct answer is option d.
The graph is attached below which shows the parent function and the transformed function.
The transformation function is reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.
Answer:
0,9
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
It is not a function because the x should never repeat the y can but not the x.
Answer:
The chance of getting a sample proportion of 70% or greater is 0.026.
Step-by-step explanation:
We are given that a poll shows that 50% of students play sports
.
A random sample of 20 students showed that 70% of them play sports.
Let 
= sample proportion of students who play sports
The z-score probability distribution for the sample proportion is given by;
Z = 
~ N(0,1)
where, = sample proportion of students who play sports = 70%
p = population proportion of students who play sports = 50%
n = sample of students = 20
Now, the chance of getting a sample proportion of 70% or greater is given by = P( 
70%)
P( 70%) = P( 
) = P(Z 1.95) = 1 - P(Z < 1.95)
= 1 - 0.97441 = <u>0.026</u>
The above probability is calculated by looking at the value of x = 1.95 in the z-table which has an area of 0.97441.
Hence, the chance of getting a sample proportion of 70% or greater is 0.026.
Answer:
A representation of numerical or categorial data. It is similar to a bar graph
Step-by-step explanation:
