If the parent function f(x)= x^2 is modified to g(x)= 2x^2+1, which statement is true about g(x)?
2 answers:
You might be interested in
Answer:
Mean = 2.14
Standard deviation = 2.40
Step-by-step explanation:
The calculation of mean and standard deviation is shown below:-
= 2.14
So, the mean is 2.14
Now, For computing the standard deviation first we need to find out the variance which is shown below:-
Variance is
After solving the above equation we will get
= 5.78
Now, the standard deviation is
= 2.404163056
or
= 2.40
Based on my created polygon, I formed a trapezoid.
I need to use the Pythagorean theorem to solve for the two sides that are the hypotenuse of the right triangles derived from the image.
1st side: distance from -1 to 5 = 6
2nd side: distance from -5 to 12 = 17
3rd side: hypotenuse:
a = -5 to -1 = 4
b = 0 t0 8 = 8
c² = 4² + 8² = 16 + 64 = 80
c = √80 = 8.94
4th side: hypotenuse:
a = 5 to 12 = 7
b = 0 to 8 = 8
c² = 7² + 8² = 49 + 64 = 113
c = √113 = 10.63
Perimeter = 6 + 17 + 8.94 + 10.63 = 42.57 or 42.6 units.
I need to use the Pythagorean theorem to solve for the two sides that are the hypotenuse of the right triangles derived from the image.
1st side: distance from -1 to 5 = 6
2nd side: distance from -5 to 12 = 17
3rd side: hypotenuse:
a = -5 to -1 = 4
b = 0 t0 8 = 8
c² = 4² + 8² = 16 + 64 = 80
c = √80 = 8.94
4th side: hypotenuse:
a = 5 to 12 = 7
b = 0 to 8 = 8
c² = 7² + 8² = 49 + 64 = 113
c = √113 = 10.63
Perimeter = 6 + 17 + 8.94 + 10.63 = 42.57 or 42.6 units.